Question

Find the HCF of 135 and 75 by the prime factorisation, hence find the LCM
and HCF of ( 135, 75 ) and 20.​

Answer 1

Step-by-step explanation:

Given Find the HCF of 135 and 75 by the prime factorisation, hence find the LCM and HCF of ( 135, 75 ) and 20.

• We need to find the hcf of 135 and 75 by prime factorization. So the factors are
• 1. 135 = 3 x 3 x 3 x 5
• 2. 75 = 3 x 5 x 5
• So hcf will be 3 x 5 = 15          
• Now we need to find LCM of 135,75 and 20. So the factors are
• 5 x 3 x 3 x 2 x 3 x 5 x 2 = 2700
• Also we need to find the hcf of 15 and 20. So the factors are
• 1.     15 = 3 x 5
• 2. 20 = 2 x 2 x 5
• So hcf will be  5

Reference link will be

https://brainly.in/question/15627942