Greatest Common Factor of 21/372, 210/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/372, 210/637

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 21/372,210/637

Given fractions are 21/372,210/637

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 21,210

Greatest Common Factor of Numerators i.e. GCF of 21,210 is 21 .

LCM of Denominators means LCM of 372,637 as per the given fractions.

LCM of 372,637 is 236964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,210

GCF of Fractions 21/372,210/637 is 21/236964

3 21, 210
7 7, 70
1, 10

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 21,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,210 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 21,210 . The biggest common factor number is the GCF number.
So the greatest common factor 21,210 is 21.

Lets's calculate LCM of 372,637

Given numbers has no common factors except 1. So, there LCM is their product i.e 236964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/236964

Therefore, the GCF of Fractions 21/372,210/637 is 21/236964

Least Common Multiple of 372,637 with GCF Formula

Least Common Multiple of 372,637 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 372,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,637) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(372,637) x common factors =1 x 1 = 1

LCM(372,637) = ( 372 × 637 ) / 1

LCM(372,637) = 236964 / 1

LCM(372,637) = 236964


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 21/372, 210/637

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 21/372, 210/637?

Answer: GCF of Numerators as per given numbers 21/372, 210/637 is

GCF of Numerators i.e. for 21,210 is 21

LCM of denominators i.e. for 372,637 is 236964.

Thus, GCF of Fractions is 21/236964.Finally, GCF of Fractions for 21/372, 210/637 is 21/236964.