layout: gcf value: 90 value2: 108 result: 18 factors: [1,2,3,5,6,9,10,15,18,30,45,90] factors2: [1,2,3,4,6,9,12,18,27,36,54,108] 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 (90, 108).</p> props: <li>Given two numbers 90 and 108, such that GCF is 18 where 18 will always be less than 90 and 108.</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. 90 and 108 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, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 are exact divisors of 90 and 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108 are exact divisors of 108.</li><li>1 is a factor of every number. Eg. 1 is a factor of 90 and also of 108.</li><li>Every number is a factor of zero (0), since 90 x 0 = 0 and 108 x 0 = 0.</li> examples: <div class="example-box">Sammy baked 90 chocolate cookies and 108 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 90 and 108.
GCF of 90 and 108 is 18.</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(90, 108) = ( 90 * 108 ) / LCM(90, 108) = 18. </p></div><div class="example-box">What is the GCF of 90 and 108?<p>GCF of 90 and 108 is 18.</p></div><div class="example-box">Ram has 90 cans of Pepsi and 108 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 90 and 108. Hence GCF of 90 and 108 is 18. So the number of tables that can be arranged is 18.</p></div><div class="example-box">Rubel is creating individual servings of starters for her birthday party. He has 90 pizzas and 108 hamburgers. He wants each serving to be identical, with no left overs. Can you help Rubel in arranging the same in greatest possible way?<p>The greatest number of servings Rubel can create would be equal to the GCF of 90 and 108. Thus GCF of 90 and 108 is 18.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 90 bottles of water and 108 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 90 and 108. So the GCF of 90 and 108 is 18.</p></div><div class="example-box">Mary has 90 blue buttons and 108 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 90 and 108. Hence, the GCF of 90 and 108 or the greatest arrangement is 18.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 90 maroon balloons, and 108 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 90 and 108. So the GCF of 90 and 108 is 18.</p></div> uservisited: <li> GCF of 344 and 1000 </li><li> GCF of 24 and 104 </li><li> GCF of 27 and 36 </li><li> GCF of 9 and 18 </li><li> GCF of 33 and 44 </li><li> GCF of 38 and 56 </li><li> GCF of 120 and 168 </li><li> GCF of 84 and 90 </li><li> GCF of 18 and 108 </li><li> GCF of 10 and 15 </li><li> GCF of 24 and 48 </li><li> GCF of 10 and 17 </li><li> GCF of 39 and 65 </li><li> GCF of 32 and 52 </li><li> GCF of 100 and 125 </li><li> GCF of 25 and 90 </li><li> GCF of 48 and 328 </li><li> GCF of 25 and 48 </li><li> GCF of 30 and 45 </li><li> GCF of 14161 and 12100 </li><li> GCF of 28 and 57 </li><li> GCF of 105 and 175 </li><li> GCF of 112 and 128 </li><li> GCF of 36 and 75 </li><li> GCF of 125 and 500 </li> —–