Question

The hcf and lcm of two positive numbers are 96 and 1344 respectively. If one of the numbers is 576, what is the other number?

Answer 1

$hcf \times lcm = one number \times other number$
96*1344=576*other number
96*1344/576=other number

Answer 2

The other number comes out to be 224.

Given,

HCF of two numbers → 96

LCM of two numbers → 1344

One of the numbers → 576

To Find,

The other number

Solution,

Let the other number be 'a' which has to be found

We know that,

HCF (of 2 numbers) x LCM (of 2 numbers) = Product of the 2 numbers

Using this property, we can find out the other number very easily.

96 x 1344 = 576 x a

129024 = 576a

a = $\frac{129024}{576}$

a = 224

Hence, the other number comes out to be 224.

#SPJ2

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