layout: gcf value: 27 value2: 30 result: 3 factors: [1,3,9,27] factors2: [1,2,3,5,6,10,15,30] def: <h4 class="mt-3 heading">How do we define GCF?</h4><p>In mathematics we use GCF or greatest common method to find out the greatest possible positive integer which can completely divide the given numbers. It is written as GCF (27, 30).</p> props: <li>The GCF of two given numbers where one of them is a prime number is either 1 or the number itself.</li><li>GCF of two consecutive numbers is always 1.</li><li>Given two numbers 27 and 30, such that GCF is 3 where 3 will always be less than 27 and 30.</li><li>Product of two numbers is always equal to the product of their GCF and LCM.</li> factorsdef: <h4 class="mt-3 heading">How do you explain factors?</h4><p>In mathematics, a factor is a number or also it can be an algebraic expression that divides another number or any expression completely and that too without leaving any remainder. A factor of a number can be positive or negative.</p> factorsprops: <li>Every number is a factor of zero (0), since 27 x 0 = 0 and 30 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, 3, 9, 27 are exact divisors of 27 and 1, 2, 3, 5, 6, 10, 15, 30 are exact divisors of 30.</li><li>Factors of 27 are 1, 3, 9, 27. Each factor divides 27 without leaving a remainder.
Simlarly, factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. Each factor divides 30 without leaving a remainder.</li> examples: <div class="example-box">Sammy baked 27 chocolate cookies and 30 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 27 and 30.
GCF of 27 and 30 is 3.</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(27, 30) = ( 27 * 30 ) / LCM(27, 30) = 3. </p></div><div class="example-box">What is the GCF of 27 and 30?<p>GCF of 27 and 30 is 3.</p></div><div class="example-box">Ram has 27 cans of Pepsi and 30 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 27 and 30. Hence GCF of 27 and 30 is 3. So the number of tables that can be arranged is 3.</p></div><div class="example-box">Rubel is creating individual servings of starters for her birthday party. He has 27 pizzas and 30 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 27 and 30. Thus GCF of 27 and 30 is 3.</p></div><div class="example-box">Ariel is making ready to eat meals to share with friends. She has 27 bottles of water and 30 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 27 and 30. So the GCF of 27 and 30 is 3.</p></div><div class="example-box">Mary has 27 blue buttons and 30 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 27 and 30. Hence, the GCF of 27 and 30 or the greatest arrangement is 3.</p></div><div class="example-box">Kamal is making identical balloon arrangements for a party. He has 27 maroon balloons, and 30 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 27 and 30. So the GCF of 27 and 30 is 3.</p></div> uservisited: <li> GCF of 27 and 45 </li><li> GCF of 30 and 50 </li><li> GCF of 23 and 50 </li><li> GCF of 42 and 77 </li><li> GCF of 40 and 63 </li><li> GCF of 49 and 343 </li><li> GCF of 23 and 34 </li><li> GCF of 5 and 35 </li><li> GCF of 21 and 400 </li><li> GCF of 33 and 43 </li><li> GCF of 450 and 750 </li><li> GCF of 40 and 50 </li><li> GCF of 68 and 102 </li><li> GCF of 28 and 90 </li><li> GCF of 36 and 108 </li><li> GCF of 20 and 300 </li><li> GCF of 18 and 72 </li><li> GCF of 16 and 64 </li><li> GCF of 126 and 18 </li><li> GCF of 115 and 138 </li><li> GCF of 12 and 156 </li><li> GCF of 39 and 156 </li><li> GCF of 40 and 72 </li><li> GCF of 72 and 84 </li><li> GCF of 30 and 45 </li> —–