Question

What is the Gcf of 28 and 84

Answer 1

Do you know what GCF mean?

Answer 2

28 would be the answer.

Answer 3

Direct answer.. Ouch

Answer 4

Find the divisors of each integer and select the largest element they have in common:
The divisors of 28 are:
\(1, 2, 4, 7, 14, 28\)
The divisors of 84 are:
\(1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84\)
The largest number common to both divisor lists is 28:
divisors of \(28: 1, 2, 4, 7, 14, 28\)
divisors of \(84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84\)

Answer 5

So in this case, GCD=GCF :)

Answer 6

28 = 2 * 2*7
84 = 2*2*3*7
Since 7 is the common factor of both the numbers hence
7 is the GCD of 28 and 84

Answer 7

you can use several methods :-
1- find all common factors of 28 and 84 and find the greatest
2_ use Eclids algorithm
3_ GCD(a,b)=axb/ LCF(a,b)