Question

The HCF of two no. is 145 and their LCM is 2175 . If one no. 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

As we know HCF×LCM = Product of two numbers.

So , here one number is 725 , let the other be x.

So, According to our formula→

725x = HCF×LCM

or, x = (145×2175)/725

or, x = 315375/725

or, x = 435.

Answer → The other number is 435.
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