if L.C.M.(91,26)=182, then H.C.F. (91,26)=
Answers
Answered by
149
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
I hope it helps
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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
I hope it helps
mark it as brainilist
Answered by
69
Hey there,
LCM×HCF=Product of two numbers
=>182×HCF=91×26
=>HCF=91×26/182
=>HCF=13
Hope this will help you
LCM×HCF=Product of two numbers
=>182×HCF=91×26
=>HCF=91×26/182
=>HCF=13
Hope this will help you
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