The GCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, find the other number.

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neela | High School Teacher | (Level 3) Valedictorian

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Let x be the other number.

Given that the GCF(  x  , 161) = 23...............(1)

Given that x and 161 has the LCM = 1449..........(2).

We know that  LCM (x , 161) = x*161/(GCF)

So,  x*161/23 = 1449

x = 1449*23/161

x =  207.

Threfore the other number is  207.

 

Tally :

161 = 23*7

207 = 23*3*3

So the GCF = 23

LCM = 23*7*3*3 = , Considering  all the factors but common factors for both  16 14491 and 207 only once.

 

 

 

 

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