layout: gcf value: 70 value2: 90 result: 10 factors: [1,2,5,7,10,14,35,70] factors2: [1,2,3,5,6,9,10,15,18,30,45,90] def: <h4 class="mt-3 heading">Definition of GCF</h4><p>Greatest common factor commonly known as GCF of the two numbers is the highest possible number which completely divides given numbers, i.e. without leaving any remainder. It is represented as GCF (70, 90).</p> props: <li>Given two numbers 70 and 90, such that GCF is 10 where 10 will always be less than 70 and 90.</li><li>GCF of two numbers is always equal to 1 in case given numbers are consecutive.</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 is either 1 or the number itself if one of them is a prime number.</li> factorsdef: <h4 class="mt-3 heading">What are factors?</h4><p>In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.</p> factorsprops: <li>Each number is a factor of itself. Eg. 70 and 90 are factors of themselves respectively.</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, 5, 7, 10, 14, 35, 70 are exact divisors of 70 and 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 are exact divisors of 90.</li><li>1 is a factor of every number. Eg. 1 is a factor of 70 and also of 90.</li><li>Every number is a factor of zero (0), since 70 x 0 = 0 and 90 x 0 = 0.</li> examples: <div class="example-box">Sammy baked 70 chocolate cookies and 90 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 70 and 90.
GCF of 70 and 90 is 10.</p></div><div class="example-box">A class has 70 boys and 90 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 70 and 90. Hence, GCF of 70 and 90 is 10.</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">What is the relation between LCM and GCF (Greatest Common Factor)?<p>GCF and LCM of two numbers can be related as GCF(70, 90) = ( 70 * 90 ) / LCM(70, 90) = 10. </p></div><div class="example-box">What is the GCF of 70 and 90?<p>GCF of 70 and 90 is 10.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 70 bottles of water and 90 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 70 and 90. So the GCF of 70 and 90 is 10.</p></div><div class="example-box">Mary has 70 blue buttons and 90 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 70 and 90. Hence, the GCF of 70 and 90 or the greatest arrangement is 10.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 70 maroon balloons, and 90 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 70 and 90. So the GCF of 70 and 90 is 10.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 70 bags of nuts and 90 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 70 and 90. So the GCF of 70 and 90 is 10.</p></div> uservisited: <li> GCF of 60 and 126 </li><li> GCF of 110 and 306 </li><li> GCF of 140 and 210 </li><li> GCF of 21 and 306 </li><li> GCF of 32 and 108 </li><li> GCF of 24 and 60 </li><li> GCF of 9 and 11 </li><li> GCF of 108 and 147 </li><li> GCF of 10 and 95 </li><li> GCF of 108 and 180 </li><li> GCF of 20 and 150 </li><li> GCF of 20 and 95 </li><li> GCF of 16 and 72 </li><li> GCF of 30 and 40 </li><li> GCF of 25 and 90 </li><li> GCF of 84 and 140 </li><li> GCF of 141 and 329 </li><li> GCF of 35 and 77 </li><li> GCF of 39 and 77 </li><li> GCF of 130 and 154 </li><li> GCF of 32 and 54 </li><li> GCF of 35 and 65 </li><li> GCF of 105 and 147 </li><li> GCF of 39 and 42 </li><li> GCF of 40 and 108 </li> —–