Question

Find the HCF of 150 and 180.

Answer 1

Answer:

30

Step-by-step explanation:

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 180

180 = 2 × 2 × 3 × 3 × 5

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 3 × 5

GCF = 30

Answer 2

The HCF of 150 and 180 is 30

Given :

The numbers 150 and 180

To find :

The HCF

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

Solution :

Step 1 of 3 :

Write down the given numbers

The given numbers are 150 and 180

Step 2 of 3 :

Prime factorise the given numbers

150 = 2 × 3 × 5 × 5

180 = 2 × 2 × 3 × 3 × 5

Step 3 of 3 :

Find the HCF

Hence the required HCF

= 2 × 3 × 5

= 30

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