Question

How to Find the GCF of each pair of numbers.

give ur own answer with example

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Answer 1

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Steps to find the GCF of pair of numbers

Let us take, the numbers 12 and 24 as example

step 1:

Write the prime factors of the both numbers

12 = 2² × 3¹

24 = 2³ × 3¹

step 2:

Find the common factor among all the factors...But, consider the least power value

we have, 2² and 3¹ as common factors

Step 3:

Multiply the common factors

= 2² × 3¹

= 4 × 3

= 12

The product of the common factors is GCF (GREATEST COMMON FACTOR)

$\texttt{\blue{Aravind}\:\red{Reddy}....!}$

Answer 2

$\huge\bf{Answer:-}$

First, find the prime factorizations of the two numbers.

So, we can find the common factors raised to the smallest exponent and multiply with each other.

If there are no common prime factors, the GCF is 1.

Example:-

1) 11: 10 and 45

= (2 x 5) and (3² x 5) = 5

2) 13: 21 and 40

= (3 x 7) and (2³ x 5) = 1

3) 12: 25 and 90

= (5 x 5) and (2² x 3 x 5) = 5

4) 14: 28 and 70

= (2² x 7) and (2 x 5 x 7) = 2 x 7 = 14

5) 15: 60 and 72

= (2² x 3 x 5) and (2³ x 3²) = 2² x 3 = 12