ratio of hcf and lcm of two numbers is 1:6 and their product is 4704. Find HCF
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Answer:
HCF = 28
Step-by-step explanation:
the product of any two positivr integers is equal to product of their LCM and HCF
4704 = LCM * HCF
since the ratio LCM and HCF is 1:6 we can take
LCM as 1x and HCF as 6x
4704 = 1x * 6x
4704 = 6x^2
4704 ÷ 6 = x^2
784 = x^2
x = √784
= 28
then, HCF = 28 and LCM = 6*28 = 168
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