## The hcf of two numbers is 23 and then lcm is 1449, if one of the number is 207 then find the other.

Question

The hcf of two numbers is 23 and then lcm is 1449, if one of the number is 207 then find the other.

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Mathematics
1 year
2021-07-17T14:23:17+00:00
2021-07-17T14:23:17+00:00 2 Answers
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## Answers ( )

let the two no. be a and b.

Given:HCF =23 and LCM =1449

Weknowthat:–a×b=hcf×lcm

207×b=23×1449

So the answer is 161

Forchecking:–if we find the HCF of 207 and 161=23

if we find the LCM of 207 and 161=1449

so our answer is correct.

According to the question ,

Let the other numbers be x .

One of the number is 207.

We have to find the value of x .

We know that,

H.C.F × L.C.M. = a × b

➝ 23 × 1449 = 207 × b

➝ 33327 = 207 × b

➝ 33327/207 = b

➝

161 = bThe other number is 161.