The HCF of two numbers is 416 and their LCM is 4992. If one of the number is 1664, the other number is what ?
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Answer:
1152=2
7
×3
2
1664=2
7
×13
LCM (1152, 1664)= 2
7
×3
2
×13=14976
HCF(1152, 1664) = 2
7
=128
Verification :
HCF×LCM=14976×128=1916928
product of given numbers = 1152×1664=1916928
⇒HCF×LCM= product of given numbers
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