Question

The HCF of two numbers is 145 and their COM is 2175. If one number is 725 .Find the other.

Answer 1

Hi ,

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↪Relation between HCF and LCM of

two numbers a and b is

Product of two numbers = HCF × LCM
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⭐According to the given problem

HCF = 145 ,

LCM = 2175,

One number = a = 725

Let the second number = b

a × b = HCF × LCF

b = ( HCF × LCM ) / a

b = ( 145 × 2175 )/ 725

b = ( 145 × 3 × 725 )/ 725

After cancellation ,

b = 145 × 3

b = 435

Therefore ,

Second number = b = 435

⭐I hope this helps you.

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Answer 2

HCF = 145

LCM = 2175

One no. = a = 725

Let the second no. = b

$\rm a \times b = HCF \times LCM$

$\rm b = (HCF \times LCM)$

$\rm b = \frac{(145 \times 2175)}{1725 }$

$\rm b = \frac{(145 \times 3 \times 725)}{725}$

$\rm b = 145 \times 3$

$\rm b = 435$

therefore, the second no. = b = 435.