Math, asked by KSEH2608, 7 months ago

If LCM(21,35)=105 then HCF(21,35)=

Answers

Answered by sean21
18

Answer:

CF of 21 = 1,3,7,21

35 = 1,5,7,35

CF are 1 and 7

HCF is 7

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Answered by Ishaan038
6

Answer:

The HCF of (21,35) is 7.

Step-by-step explanation:

A factor is a number that devides another number leaving 0 as the remainder.

i.e.

  • 2 is the factor of 2,4,6,8...(and every even number)
  • 1 is the factor of every integer.
  • 5 is the factor of 5,10,15,20....

What is HCF?

HCF is the highest common factor of two numbers. It the the common of factor of two number of the greatest value.

Let's understand this by solving the questions:

1. the factors of 21 are

=1,3,7,21

2. the factors of 35 are

=1,5,7,35

3. the common factors (factors occuring in both) of 21 and 35 are

=1,7

4. the common factor having the greatest value is

=7

Therefore the HCF (highest common factor) of 21 and 35 is 7.

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