Question

if L.C.M.(91,26)=182, then H.C.F. (91,26)=

Answer 1

We know that 

Product of two numbers = Product of their HCF & LCM

Factors of 91 = 13×7

Factors of 26 = 13×2

LCM(91,26) = 2×7×13 = 182

Let HCF(91,26) = x

Using the above mentioned formula, we get

 91×26 = LCM × HCF

⇒91×26 = 2×7×13× x

On simplifying we get

x = 13 

So, We get HCF(91,26) = 13


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Answer 2

Hey there,

LCM×HCF=Product of two numbers
=>182×HCF=91×26
=>HCF=91×26/182
=>HCF=13

Hope this will help you