Question

The product of two numbers is 2500, their LCM is 250. Then their HCF is a) 10 b) 2500 ÷ 250 c) Options ‘a’ and ‘b’ d) Not possible to find

Answer 1

Answer:

Option - c

Step-by-step explanation:

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Answer 2

Answer :

• HCF is 10
• Option (a)

Given :

• The product of two numbers is 2500 , their LCM is 250.

To find :

• HCF

Solution :

Given,

• Product of two numbers is 2500
• LCM is 250

• Let the HCF be x

We know that,

• LCM × HCF = Product of two numbers

Where,

• LCM is 250
• HCF is x
• Product of two numbers is 2500

Substituting the value :

↬ LCM × HCF = Product of two numbers

↬ 250 × x = 2500

↬ x = 2500/250

↬ x = 10

Hence , HCF is 10.

Option (a).

Verification :

↬ LCM × HCF = Product of two numbers

↬ 250 × 10 = 2500

↬ 2500 = 2500

Hence , Verified.