layout: gcf value: 49 value2: 81 result: 1 factors: [1,7,49] factors2: [1,3,9,27,81] def: <h4 class="mt-3 heading">How do you explain GCF in mathematics?</h4><p>GCF or greatest common factor of two or more numbers is defined as largest possible number or integer which is the factor of all given number or in other words we can say that largest possible common number which completely divides the given numbers. GCF of two numbers can be represented as GCF (49, 81).</p> props: <li>The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 49 and 81 is 1, where 1 is less than both the numbers.</li><li>If the given numbers are consecutive than GCF is always 1.</li><li>Product of two numbers is always equal to the product of their GCF and LCM.</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">How can we define factors?</h4><p>In mathematics, a factor is a number which divides into another number exactly, without leaving any remainder. A factor of a number can be positive of negative.</p> factorsprops: <li>Every factor of a number is an exact divisor of that number, example 1, 7, 49 are exact divisors of 49 and 1, 3, 9, 27, 81 are exact divisors of 81.</li><li>Every number other than 1 has at least two factors, namely the number itself and 1.</li><li>Each number is a factor of itself. Eg. 49 and 81 are factors of themselves respectively.</li><li>1 is a factor of every number. Eg. 1 is a factor of 49 and also of 81.</li> examples: <div class="example-box">Sammy baked 49 chocolate cookies and 81 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 49 and 81.
GCF of 49 and 81 is 1.</p></div><div class="example-box">A class has 49 boys and 81 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 49 and 81. Hence, GCF of 49 and 81 is 1.</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(49, 81) = ( 49 * 81 ) / LCM(49, 81) = 1. </p></div><div class="example-box">What is the GCF of 49 and 81?<p>GCF of 49 and 81 is 1.</p></div><div class="example-box">Mary has 49 blue buttons and 81 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 49 and 81. Hence, the GCF of 49 and 81 or the greatest arrangement is 1.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 49 maroon balloons, and 81 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 49 and 81. So the GCF of 49 and 81 is 1.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 49 bags of nuts and 81 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 49 and 81. So the GCF of 49 and 81 is 1.</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 49 bus tickets and 81 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 49 and 81. Hence, GCF of 49 and 81 is 1.</p></div> uservisited: <li> GCF of 120 and 84 </li><li> GCF of 130 and 339 </li><li> GCF of 126 and 147 </li><li> GCF of 2205 and 3675 </li><li> GCF of 36 and 80 </li><li> GCF of 42 and 86 </li><li> GCF of 42 and 56 </li><li> GCF of 24 and 36 </li><li> GCF of 42 and 154 </li><li> GCF of 81 and 135 </li><li> GCF of 18 and 41 </li><li> GCF of 96 and 128 </li><li> GCF of 2200 and 260 </li><li> GCF of 21 and 36 </li><li> GCF of 98 and 182 </li><li> GCF of 20 and 32 </li><li> GCF of 180 and 600 </li><li> GCF of 10 and 2000 </li><li> GCF of 130 and 154 </li><li> GCF of 150 and 360 </li><li> GCF of 16 and 45 </li><li> GCF of 15 and 40 </li><li> GCF of 6 and 12 </li><li> GCF of 49 and 121 </li><li> GCF of 13 and 20 </li> —–