Greatest Common Factor of 126/7182, 474/2121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 126/7182, 474/2121

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 126/7182,474/2121

Given fractions are 126/7182,474/2121

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 126,474

Greatest Common Factor of Numerators i.e. GCF of 126,474 is 6 .

LCM of Denominators means LCM of 7182,2121 as per the given fractions.

LCM of 7182,2121 is 725382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 126,474

GCF of Fractions 126/7182,474/2121 is 6/725382

2 126, 474
3 63, 237
21, 79

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 126,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,474 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 126,474 . The biggest common factor number is the GCF number.
So the greatest common factor 126,474 is 6.

Lets's calculate LCM of 7182,2121

3 7182, 2121
7 2394, 707
342, 101

∴ So the LCM of the given numbers is 3 x 7 x 342 x 101 = 725382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/725382

Therefore, the GCF of Fractions 126/7182,474/2121 is 6/725382

Least Common Multiple of 7182,2121 with GCF Formula

Least Common Multiple of 7182,2121 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 7182,2121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7182,2121) = 21

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

GCF(7182,2121) x common factors =21 x 1 = 21

LCM(7182,2121) = ( 7182 × 2121 ) / 21

LCM(7182,2121) = 15233022 / 21

LCM(7182,2121) = 725382


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 126/7182, 474/2121

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 126/7182, 474/2121?

Answer: GCF of Numerators as per given numbers 126/7182, 474/2121 is

GCF of Numerators i.e. for 126,474 is 6

LCM of denominators i.e. for 7182,2121 is 725382.

Thus, GCF of Fractions is 6/725382.Finally, GCF of Fractions for 126/7182, 474/2121 is 6/725382.