Question

The product of two numbers is 1625. If the LCM is 325, find their HCF.
Please tell as quick as possible

Answer 1

Answer:

HCF = 5

Step-by-step explanation:

The product of two number is = 1625

LCM = 325

To find:- HCF = ?

Formula :

HCF* LCM = a*b

Solution:-

HCF = a*b/ LCM

         =1625 / 325

        =  5

HCF = 5

Answer 2

If the product of two numbers is 1625 and their LCM is 325, then their HCF is equal to 5.

Step-by-step Explanation

Given:

• The product of two numbers is equal to 1625.

• The LCM of the two numbers is equal to 325.

To be found:

To find the HCF of the two numbers.

Solution:

Let 'a' and 'b' be the two numbers.

We know that the product of the two numbers is 1625.

$\implies a \times b=1625$

Also, it is given that the LCM of the two numbers is 325.

$\implies LCM(a,b)=325$

Here, we can use the formula,

Product of LCM and HCF of two numbers = Product of the two numbers

$\implies LCM(a,b) \times HCF(a,b)=a\times b$ -------(1)

Now, substituting the given values in (1), we get

$325 \times HCF(a,b)=1625\\\implies HCF(a,b)=\frac{1625}{325} \\\implies HCF(a,b)=5$

Therefore, the HCF of the two numbers is equal to 5.

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