Question

Which pair of numbers has a GCF of 8?

Answer 1

Answer:

The GCF of (24, 36) and (16, 56) is 8.

Step-by-step explanation:

Assumption,

Let the pair of numbers be 'x' and 'y'.

Given,

The G.C.D. of 'x' and 'y' is 8.

To find,

The value of 'x' and 'y'

Concept,

G.C.F.

The largest factor that all the numbers share is known as Greatest Common Factor (G.C.F).

Eg:

For the numbers 4 and 8, the largest common number is 4

Hence, the GCF of 4 and 8 is 4.

Calculation,

Now the two numbers can be of the form 8x, and 8y, where x and y any of one number is a prime number except 2.

So, for example, if x is prime (except 2) then y can be any number.

i.e. x = 3, y = 4

then the pair of numbers are 24 and 36 which have a GCF of 8.

Another pair can be formed when x = 2 and y = 7

So, GCF(16, 56) is 8.

Therefore, the GCF of (24, 36) and (16, 56) is 8.

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