Question

the LCM of two numbers is 60 if the product of the numbers is 180 find their HCF solve it with step by step explanation​

Answer 1

The HCF of two numbers is 3

Given :

LCM of two numbers is 60 and the product of the numbers is 180

To find :

HCF of two numbers

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 the given data

Here it is given that LCM of two numbers is 60 and the product of the numbers is 180

Step 2 of 2 :

Find HCF of two numbers

HCF × LCM = Product of the numbers

⇒ HCF × 60 = 180

⇒ HCF = 180/60

⇒ HCF = 3

The HCF of two numbers is 3

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Answer 2

Answer:

3 is the answer

Step-by-step explanation:

product of numbers is 180

HCF multiple by 60 equals to 180