Question

The H.C.F and L.C.M of two numbers are 16 and 672 respectively .If one of the numbers is 112 . Find the other

Answer 1

Hi ....here is your answer..
.
.as we know that ...
LCM * HCF= first number * second number...
16 *672= 112 *second number...
on solving it ...we..
.
.get second number =10752/112= 96.
.
.
hence second number is 96....
hope it helped you!!!!
Regards Brainly Star Community
#shubhendu

Answer 2

The other number = 96

Given :

• HCF and LCM of two numbers are 16 and 672 respectively

• One of the numbers is 112

To find :

The other number

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that HCF and LCM of two numbers are 16 and 672 respectively

One of the numbers is 112

Step 2 of 2 :

Find the other number

We know that ,

HCF × LCM = Product of the numbers

Thus we get ,

$\displaystyle \sf{ 16 \times 672 = 112 \times Other \: number }$

$\displaystyle \sf{ \implies 112 \times Other \: number = 16 \times 672 }$

$\displaystyle \sf{ \implies Other \: number = \frac{16 \times 672}{112} }$

$\displaystyle \sf{ \implies Other \: number = 16 \times 6 }$

$\displaystyle \sf{ \implies Other \: number = 96 }$

Hence the other number = 96

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