Question

The product of two number is 23625 and LCM is 315 the HCF of the number is

Answer 1

Answer:

75 is the answer.

Step-by-step explanation:

Formula of finding HCF=product of two numbers÷LCM

=23625÷315=75

Answer 2

❒ Question -:

The product of two number is 23625 and LCM is 315. Find the HCF of the two numbers.

❒ Explanation -:

In this question we are provided with the product of two numbers that is 23625 and the LCM is 315. We are asked to calculate the HCF of the two numbers.

Let us assume the HCF as x.

We know,

$\bull \: \small\boxed{ \rm{ Product \: of \: two \: numbers = HCF × LCM}}$

Substituting the values we get

$\small\sf{ 23625 = \: } \cal{x} \sf{ \: × \: 315}$

$\small \dfrac { \cancel{23625} \: \: 75}{ \cancel{315}} = x$

$x = 75$

• Hence the HCF of the two numbers is 75.

✭ Verifying -:

$\small\sf{ 23625 = \: } \cal{x} \sf \: { \times \: 315}$

Substitute the value of x

$\small\rm{ 23625 = 75 × 315}$

$\small\rm 23625 = 23625$

$\small\bf{ LHS = RHS}$

$\small\bf {Hence, proved.}$

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