Find the HCF and LCM of 150 and 225

Steps to find LCM

Find the prime factorization of 150

150 = 2 × 3 × 5 × 5

Find the prime factorization of 225

225 = 3 × 3 × 5 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3 × 5 × 5

LCM = 450

HCF of 150 and 225 by Prime Factorization

HCF of 150 and 225 by Listing the Common Factors

Method 1: Find HCF of 150 and 225 by Prime Factorization

Represent 8 and 14 as a product of its prime factors.

Prime factorization of 150 is 2 × 3 × 5 × 5

Prime factorization of 225 is 3 × 3 × 5 × 5

The common factor in the prime factorization of 150 and 225 are 3, 5, and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 150 and 225 is 3 × 5 × 5 = 75

Method 2: Find HCF of 150 and 225 by Listing the Common Factors

The factors of 150 and 225 are shown below.

Step-by-step explanation:

Hope it is helpful.....