Question

If the LCM of 325 and 520 is 2600. Find their HCF.​

Answer 1

Answer:

• HCF of 325 and 520 is 65.

Given:

• LCM of 325 and 520 = 2600

To Find:

• HCF of the given numbers

Solution:

As we know,

Product of the numbers = Their LCM × Their HCF

Substituting given values in the equation:

⇛ 325 × 520 = 2600 × HCF

⇛ 169,000 = 2600 × HCF

⇛ 169000/2600 = HCF

⇛ 65 = HCF

HCF of the numbers is 65

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HCF. = Highest common factor.

LCM = Lowest common multiple.

Answer 2

Your Question

The LCM of 325 and 520 is 2600. Find their HCF

Your Answer

We know that

LCM(a,b) × HCF(a,b) = a × b

Where a and b are the numbers

Replacing values now,

2600 × HCF = 325 × 520

=> 2600HCF = 169000

=> HCF = 169000/2600

=> HCF = 65

More to Know

LCM(a,b) × HCF(a,b) = a × b

This rule is only applicable for two variables or numbers only.