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3 years ago

What is the Greatest Common Denominator or factor between 244 & 48

Mathematics

1 answer:

denis23 [38]3 years ago

4 0

Answer:

GCF = 4.

Step-by-step explanation:

Find the prime factors:

48 = 2*2*2*2*3

244 = 2*2*61

The greatest common factor, the GCF) (picking out the common values) =

2 *2 = 4.

A really clever way of finding the GCF of 2 numbers is Euclid's algorithm. It can be used for very large numbers where it would be time consuming and/or rather difficult to find prime factors:

Given two whole numbers where a is greater than b, do the division a ÷ b = c with remainder R.

Replace a with b, replace b with R and repeat the division.

Repeat step 2 until R=0.

When R=0, the divisor, b, in the last equation is the greatest common factor.

So applying this to our problem:

244 / 48 = 5 remainder 4

Replacing a (244) with 48 and b (48) with R (4):-

48/4 = 12 remainder 0.

So the GCF is 4.

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