Question

the HCF and LCM of two numbers are 4 and 9696 respectively if one of the numbers is 404 what is the other number​

Answer 1

Answer:

Another number is 96

Step-by-step explanation:

GIVEN: H.C.F and L.C.F of two numbers are 4 and 9696 and one of the number is 404.

To find: the other number.

As we know that

The product of LCF and LCM of the given natural number is equivalent to the product of the given numbers.

we will use the above fact in order to solve this question.

So,

HCF X LCM= product of two numbers.

As we know HCF and LCM and one  number, so substituting the value in them. and let the other number be x.

4 x 9696= x (404)

38784= 404x

x= 38784/404

x = 96.

Hence the other number is 96.

Answer 2

Answer:

The second number = 96

Step-by-step explanation:

Given,

The HCF and LCM of two numbers are 4 and 9696 respectively

One number = 404

To find,

The second number

Recall the formula

If 'a' and 'b' and any two numbers, then

LCM(a,b) × HCF(a,b) = a×b -------------------------(1)

Solution:

Let the second number be 'x'

Hence we have a = 404 and b = x

We have LCM(a,b) = 9696

HCF (a,b) = 4

Substituting in equation(1) we get

9696 × 4 = 404x

404x = 9696 × 4 = 38784

404x = 38784

x = $\frac{38784}{404}$

=96

∴ The second number = 96

SPJ2