Question

the product of 2 numbers is 144. If the LCM is 12, find their HCF.​

Answer 1

                              $\huge{\underline{\underline{\sf{Here\:You\:Go}}}}$

• Given : The product of 2 numbers is 144. LCM = 12.

• To find : The HCF.

We know that, HCF × LCM = The product of the 2 given numbers.

So, HCF × 12 = 144

HCF = $\frac{144}{12}$

                  HCF = 12.

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Verification :

         LCM × HCF = Product of 2 numbers.

                  12 × 12 = 144

                    144 = 144

             Hence Verified!

Trust me, it's a tricky question but is quite easy ;)

Answer 2

${\huge {\underline {\green {\mathfrak {Question}}}}}$

The product of 2 numbers is 144. If the LCM is 12, find their HCF.

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

${\tt {\boxed {\red {Given:}}}}$

Product of 2 numbers = 144

L.C.M of those numbers = 12

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${\tt {\boxed {\red {Find:}}}}$

HCF of the numbers = ?

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${\tt {\boxed{\red {Solution:}}}}$

Let the numbers be x and y

As we know,

The product of two numbers = The LCM and HCF of the numbers

So we can say that,

= x × y = LCM × HCF

= 144 = 12 × HCF

=$\displaystyle{\frac {144}{12}}$= HCF

${\tt {\blue {= 12 = HCF }}}$

${\tt{\blue {The\:HCF\:is\:therefore\:12}}}$

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