Question

Given the LCM (77,99) = 693, Find its HCF.

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Answer 1

$\huge\bf\underline\green{Answer}$

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Given = LCM (77 , 99) = 693

To find = HCF (77 , 99) = ?

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Solution:-

$\rm{➝~HCF ~×~ LCM ~= ~1st ~no. ~×~2nd ~no.}$

$\rm{➝~HCF ~× ~693 ~=~ 77 ~× ~99}$

$\rm{➝~HCF ~=~ {\dfrac{77~×~99}{693}}}$

$\rm{➝~HCF ~= ~{\dfrac{7623}{693}}}$

$\rm{➝~HCF~ = ~11}$

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Answer 2

Answer:

Product of HCF×LCM=Product

of numbers

HCF×693=77×99

HCF=77×99/693

HCF=7623×693

HCF=11.

Therefore HCF of (77,99) is 11.

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