Question

The product of two numbers is 2662. if the lcm of these numbers is 242.find their hcf

Answer 1

Products of two numbers = HCF *LCM
2662= HCF* 242
HCF= 11

Answer 2

The HCF of the two numbers = 242

Given :

• The product of two numbers is 2662.

• LCM of two numbers numbers is 242

To find :

The LCM

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 2 :

Write down LCM and product of two numbers

Here it is given that product of two numbers is 2662.

LCM of two numbers numbers is 242

Step 2 of 2 :

Find the LCM

We know that

HCF × LCM = Product of the numbers

⇒ HCF × 242 = 2662

⇒ HCF = 2662/242

⇒ HCF = 11

Hence HCF of the two numbers = 242

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