Question

$help \: m e \: out \:$• If the lcm of two numbers is 216 and there product is 7776, what will be it's hcf​

Answer 1

To Find :-

• $\sf H.F.C$

Solution :-

$\sf Let\:H.C.F\:be\: x$

Given,

•$\sf L.C.M\:of\: 2\: numbers=216$

•$\sf Their\: product=7776$

We know that,

$\boxed{\sf{L.C.M\times H.C.F=Product\:of\: numbers}}$

A.T.Q

$\sf:\implies 216\times x=7776$

$\sf:\implies x=\cancel{\dfrac{7776}{216}}$

$\sf:\implies x=36$

Hence,

$\boxed{\bigstar{\sf{H.C.F=36}}}$

$\underline{\dag{\sf{\: Verification:-}}}$

$\sf:\implies H.C.F\times L.C.M=Product\:of\: number's$

$\sf:\implies 216\times 36=7776$

$\sf:\implies 7776=7776$

$\sf\:\:\:L.H.S=R.H.S\:\:( Verified!!)$

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Answer 2

Answer:

THE REQUIRED ANSWER IS ⏩ 36 ⏪

Given that

LCM : 216 , and

Product of the two numbers : 7776

As we know that

Product of two numbers = HCF × LCM

7776 = 216 × HCF

Hcf=7776/216

HCF = 36