layout: gcf value: 121 value2: 280 result: 1 factors: [1,11,121] factors2: [1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280] def: <h4 class="mt-3 heading">What is GCF of two numbers?</h4><p>In mathematics GCF or also known as greatest common factor of two or more number is that one largest number which is a factor of those given numbers. It is represented as GCF (121, 280).</p> props: <li>The GCF of two or more given numbers is always less than the given numbers. Eg- GCF of 121 and 280 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 without leaving any remainder. Or we can say, any two numbers that multiply to give a product are both factors of that product. It can be both positive or negative.</p> factorsprops: <li>Every factor of a number is an exact divisor of that number, example 1, 11, 121 are exact divisors of 121 and 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280 are exact divisors of 280.</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. 121 and 280 are factors of themselves respectively.</li><li>1 is a factor of every number. Eg. 1 is a factor of 121 and also of 280.</li> examples: <div class="example-box">Sammy baked 121 chocolate cookies and 280 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 121 and 280.
GCF of 121 and 280 is 1.</p></div><div class="example-box">A class has 121 boys and 280 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 121 and 280. Hence, GCF of 121 and 280 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(121, 280) = ( 121 * 280 ) / LCM(121, 280) = 1. </p></div><div class="example-box">What is the GCF of 121 and 280?<p>GCF of 121 and 280 is 1.</p></div><div class="example-box">Mary has 121 blue buttons and 280 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 121 and 280. Hence, the GCF of 121 and 280 or the greatest arrangement is 1.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 121 maroon balloons, and 280 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 121 and 280. So the GCF of 121 and 280 is 1.</p></div><div class="example-box">Kunal is making baskets full of nuts and dried fruits. He has 121 bags of nuts and 280 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 121 and 280. So the GCF of 121 and 280 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 121 bus tickets and 280 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 121 and 280. Hence, GCF of 121 and 280 is 1.</p></div> uservisited: <li> GCF of 64 and 120 </li><li> GCF of 20 and 45 </li><li> GCF of 14 and 55 </li><li> GCF of 23 and 92 </li><li> GCF of 14595 and 10856 </li><li> GCF of 48 and 96 </li><li> GCF of 40 and 63 </li><li> GCF of 42 and 154 </li><li> GCF of 180 and 600 </li><li> GCF of 30 and 70 </li><li> GCF of 36 and 40 </li><li> GCF of 54 and 72 </li><li> GCF of 30 and 49 </li><li> GCF of 35 and 98 </li><li> GCF of 24 and 78 </li><li> GCF of 30 and 35 </li><li> GCF of 105 and 90 </li><li> GCF of 27 and 45 </li><li> GCF of 35 and 56 </li><li> GCF of 14 and 49 </li><li> GCF of 88 and 98 </li><li> GCF of 38 and 76 </li><li> GCF of 16 and 121 </li><li> GCF of 42 and 64 </li><li> GCF of 225 and 285 </li> —–