Question

If LCM of 1566 and 2030 is 54810, find their HCF. please solve step by step​

Answer 1

Heya.....

Solution:

Given,

LCM of 1566 & 2030= 54810

To find,

HCF=?

So...We know that,

LCM ×HCF= PRODUCT of two nos.

54810× HCF =1566×2030

HCF= 3178980÷54810

HCF=58

HENCE HCF =58

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Answer 2

Answer:

The HCF ( 1566, 2030) = 1566.

Explanation:

Given : The LCM of 1566 and 2030 is 54810.

To find : The HCF of 1566 and2030.

Solution :

LCM is the least common multiple and HCF is the highest common factor.

Since the LCM of two numbers is given ,to find the HCF we use a relation. That is ,

For any two positive integers a and b, HCF(a, b) × LCM(a, b) = a × b.

Here a= 1566 and b =2030.

Then by the relation,

HCF (1566, 2030) × LCM(1566, 2030) = 1566 ×2030

HCF (1566,2030) ×  2030 = 1566 × 2030

HCF( 1566, 2030) = 1566 × 2030 = 1566.

                                      2030

Therefore, HCF ( 1566, 2030) = 1566.

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