Question

The Product of two number is 810and their LCM is 90. Find their HCF​

Answer 1

To Find :

• we need to find the HCF of two numbers.

Sᴏʟᴜᴛɪᴏɴ :

• Product of two numbers is 810
• LCM of two numbers is 90
• HCF = ???

we know that,

HCF × LCM of two numbers = product of two numbers.

Let the HCF of two numbers be x.

So,

$›› \sf \: 90 \times x = 810 \\ \\›› \sf \: 90x = 810 \\ \\ ›› \sf \: x = \frac{810}{90} \\ \\ ›› \sf \: x = \cancel\frac{81}{9} \\ \\ ›› \sf \: x = 9$

$\large\dag \large { \red{\underline{\bf{Hence }}}}$

• HCF of two numbers is 9

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