The GCF is 2.
GCF of 28 42 and 56 is 14.The GCF is 14.(28 = 2 x 14, 42 = 3 x 14, 56 = 4 x 14)To find the GCF, factor the numbers and multiply their common prime factors:28 = 2 x 2 x 742 = 2 x 3 x 756 = 2 x 2 x 2 x 7Common factors are 2 x 7 = 14
An interesting trick is to subtract the two numbers, as follows: For example, the GCF of 14 and 10 is the same as the GCF of 10 and 4, where 4 is the result of the subtraction. Instead of subtracting several times, you can also get the remainder of a division: 10 divided by 4 gives a remainder of 2.
The GCF is 2.
The GCF is 14.
The GCF of 4, 10, and 14 is 2.The factors of 4 are 2*2. Four is not a factor of 10 and 14. All are even. Thus the GCF of 2.
The GCF is 2.
The GCF is 2.
Euclid's method is great for extremely large numbers - numbers which are extremely hard to factor. It doesn't require you to figure out the factors.I think the method is best explained with an example. Suppose you want the greatest common factor of 14 and 10. This is the same as the gcf of 10 and 4 - where 4 is the REMAINDER of the division of 14 by 10 (if you divide 14 by 10, you get 1, with a reminder of 4). Repeat: gcf(10, 4) = gcf(4, 2) - once again, the 2 is obtained as the remainder of the division, in this case, of 10 by 4. gcf(4, 2) = gcf(2, 0) - in this case, the remainder is zero. As soon as one of the numbers is zero, the other is the answer: gcf(2, 0) = 2
Euclid's method is great for extremely large numbers - numbers which are extremely hard to factor. It doesn't require you to figure out the factors.I think the method is best explained with an example. Suppose you want the greatest common factor of 14 and 10. This is the same as the gcf of 10 and 4 - where 4 is the REMAINDER of the division of 14 by 10 (if you divide 14 by 10, you get 1, with a reminder of 4). Repeat: gcf(10, 4) = gcf(4, 2) - once again, the 2 is obtained as the remainder of the division, in this case, of 10 by 4. gcf(4, 2) = gcf(2, 0) - in this case, the remainder is zero. As soon as one of the numbers is zero, the other is the answer: gcf(2, 0) = 2
The GCF of 4 and 10 is 2.
The GCF of 10, 14, and 40 is 2.
gcf(6, 10, 11, 14) is 1.
The GCF is 2.
The GCF is 2.
The GCF is 2.
No, 14 is not a factor of 52. The GCF is 4.