Question

The HCF and LCM of two numbers are X2 and X3Y 2Z respectively. If one of the numbers is X 3Z, find the other number.​

Answer 1

Step-by-step explanation:

HCF by using the prime factorization method.

Step1:

Find the prime factorization of each of the number

Step2:

The product of all common prime factor is the HCF

Here,

⇒a=x×x×y×y

⇒b=x×y×y

common Factors are x×y×y

Thus ,

HCF(a,b)=xy

2

Answer 2

Answer:

The product of all common prime factor is the HCF

Here,

⇒a=x×x×y×y

⇒b=x×y×y

common Factors are x×y×y

Thus ,

HCF(a,b)=xy  

2

Step-by-step explanation:

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