layout: gcf value: 48 value2: 100 result: 4 factors: [1,2,3,4,6,8,12,16,24,48] factors2: [1,2,4,5,10,20,25,50,100] def: <h4 class="mt-3 heading">What does GCF mean in mathematics?</h4><p>Greatest Common Fcator (GCF) or also sometimes written as greates common divisor is the largest number that can evenly divide the given two numbers. GCF is represented as GCF (48, 100).</p> props: <li>The GCF of two or more given numbers cannot be greater than any of the given number. Eg- GCF of 48 and 100 is 4, where 4 is less than both 48 and 100.</li><li>GCF of two consecutive numbers is always 1.</li><li>The product of GCF and LCM of two given numbers is equal to the product of two numbers.</li><li>The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.</li> factorsdef: <h4 class="mt-3 heading">What is the definition of factors?</h4><p>In mathematics, factors are number, algebraic expressions which when multiplied together produce desired product. A factor of a number can be positive or negative.</p> factorsprops: <li>Each number is a factor of itself. Eg. 48 and 100 are factors of themselves respectively.</li><li>1 is a factor of every number. Eg. 1 is a factor of 48 and also of 100.</li><li>Every number is a factor of zero (0), since 48 x 0 = 0 and 100 x 0 = 0.</li><li>Every number other than 1 has at least two factors, namely the number itself and 1.</li><li>Every factor of a number is an exact divisor of that number, example 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 are exact divisors of 48 and 1, 2, 4, 5, 10, 20, 25, 50, 100 are exact divisors of 100.</li><li>Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Each factor divides 48 without leaving a remainder.
Simlarly, factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. Each factor divides 100 without leaving a remainder.</li><li>Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 are all less than or equal to 48 and 1, 2, 4, 5, 10, 20, 25, 50, 100 are all less than or equal to 100.</li> examples: <div class="example-box">Sammy baked 48 chocolate cookies and 100 fruit and nut cookies to package in plastic containers for her friends at college. She wants to divide the cookies into identical boxes so that each box has the same number of each kind of cookies. She wishes that each box should have greatest number of cookies possible, how many plastic boxes does she need?<p>Since Sammy wants to pack greatest number of cookies possible. So for calculating total number of boxes required we need to calculate the GCF of 48 and 100.
GCF of 48 and 100 is 4.</p></div><div class="example-box">A class has 48 boys and 100 girls. A choir teacher wants to form a choir team from this class such that the students are standing in equal rows also girls or boys will be in each row. Teacher wants to know the greatest number of students that could be in each row, can you help him?<p>To find the greatest number of students that could be in each row, we need to find the GCF of 48 and 100. Hence, GCF of 48 and 100 is 4.</p></div><div class="example-box">What is the difference between GCF and LCM?<p>Major and simple difference betwen GCF and LCM is that GCF gives you the greatest common factor while LCM finds out the least common factor possible for the given numbers.</p></div><div class="example-box">Ram has 48 cans of Pepsi and 100 cans of Coca Cola. He wants to create identical refreshment tables that will be organized in his house warming party. He also doesn’t want to have any can left over. What is the greatest number of tables that Ram can arrange?<p>To find the greatest number of tables that Ram can stock we need to find the GCF of 48 and 100. Hence GCF of 48 and 100 is 4. So the number of tables that can be arranged is 4.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 48 bottles of water and 100 cans of food, which she would like to distribute equally, with no left overs. What is the greatest number of boxes Ariel can make?<p>The greatest number of boxes Ariel can make would be equal to GCF of 48 and 100. So the GCF of 48 and 100 is 4.</p></div><div class="example-box">Mary has 48 blue buttons and 100 white buttons. She wants to place them in identical groups without any buttons left, in the greatest way possible. Can you help Mary arranging them in groups?<p>Greatest possible way in which Mary can arrange them in groups would be GCF of 48 and 100. Hence, the GCF of 48 and 100 or the greatest arrangement is 4.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 48 maroon balloons, and 100 orange balloons. He wants each arrangement tohave the same number of each color. What is the greatest number of arrangements that he can make if every balloon is used?<p>The greatest number of arrangements that he can make if every balloon is used would be equal to GCF of 48 and 100. So the GCF of 48 and 100 is 4.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 48 bags of nuts and 100 bags of dried fruits. He wants each basket to be identical, containing the same combination of bags of nuts and bags of driesn fruits, with no left overs. What is the greatest number of baskets that Kunal can make?<p>the greatest number of baskets that Kunal can make would be equal to GCF of 48 and 100. So the GCF of 48 and 100 is 4.</p></div><div class="example-box">To energize public transportation, Abir needs to give a few companions envelopes with transport tickets, and metro tickets in them. On the off chance that he has 48 bus tickets and 100 metro tickets to be parted similarly among the envelopes, and he need no tickets left. What is the greatest number of envelopes Abir can make?<p>To make the greatest number of envelopes Abir needs to find out the GCF of 48 and 100. Hence, GCF of 48 and 100 is 4.</p></div> uservisited: <li> GCF of 5 and 11 </li><li> GCF of 84 and 96 </li><li> GCF of 28 and 36 </li><li> GCF of 22 and 48 </li><li> GCF of 28 and 32 </li><li> GCF of 63 and 81 </li><li> GCF of 46 and 92 </li><li> GCF of 18 and 22 </li><li> GCF of 32 and 36 </li><li> GCF of 32 and 40 </li><li> GCF of 16 and 1000 </li><li> GCF of 144 and 264 </li><li> GCF of 1760 and 1400 </li><li> GCF of 13 and 70 </li><li> GCF of 21 and 43 </li><li> GCF of 30 and 75 </li><li> GCF of 2000 and 150 </li><li> GCF of 15 and 143 </li><li> GCF of 66 and 99 </li><li> GCF of 70 and 98 </li><li> GCF of 56 and 98 </li><li> GCF of 16 and 121 </li><li> GCF of 20 and 38 </li><li> GCF of 55 and 77 </li><li> GCF of 10 and 46 </li> —–