1.

The ratio of 2 numbers is 4 ∶ 5. Their LCM is 700. Find their HCF.1. 352. 1403. 1754. 70

Answer» Correct Answer - Option 1 : 35

Given:

The ratio of 2 numbers = 4 ∶ 5

LCM = 700

Calculation:

Let assume that first number = 4x 

and, second number = 5x

Factors of number

4x = 4 × x,

5x = 5 × x

LCM = x × 4 × 5

HCF = x

According to question

⇒ x × 4 × 5 = 700

⇒ 20x = 700

⇒ x = 35

∴ HCF of numbers is 35 

The correct option is 1 i.e. 35



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