Greatest Common Factor of 2125/342, 4362/4113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2125/342, 4362/4113

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 2125/342,4362/4113

Given fractions are 2125/342,4362/4113

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 2125,4362

Greatest Common Factor of Numerators i.e. GCF of 2125,4362 is 1 .

LCM of Denominators means LCM of 342,4113 as per the given fractions.

LCM of 342,4113 is 156294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2125,4362

GCF of Fractions 2125/342,4362/4113 is 1/156294

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2125,4362 By Matching Biggest Common Factor Method

Greatest Common Factor of 2125,4362 By Matching Biggest Common Factor Method

Factors of 2125

List of positive integer factors of 2125 that divides 2125 without a remainder.

1,5,17,25,85,125,425,2125

Factors of 4362

List of positive integer factors of 4362 that divides 4362 without a remainder.

1,2,3,6,727,1454,2181,4362

Greatest Common Factor

We found the factors 2125,4362 . The biggest common factor number is the GCF number.
So the greatest common factor 2125,4362 is 1.

Lets's calculate LCM of 342,4113

3 342, 4113
3 114, 1371
38, 457

∴ So the LCM of the given numbers is 3 x 3 x 38 x 457 = 156294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156294

Therefore, the GCF of Fractions 2125/342,4362/4113 is 1/156294

Least Common Multiple of 342,4113 with GCF Formula

Least Common Multiple of 342,4113 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 342,4113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,4113) = 9

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

GCF(342,4113) x common factors =9 x 1 = 9

LCM(342,4113) = ( 342 × 4113 ) / 9

LCM(342,4113) = 1406646 / 9

LCM(342,4113) = 156294


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 2125/342, 4362/4113

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 2125/342, 4362/4113?

Answer: GCF of Numerators as per given numbers 2125/342, 4362/4113 is

GCF of Numerators i.e. for 2125,4362 is 1

LCM of denominators i.e. for 342,4113 is 156294.

Thus, GCF of Fractions is 1/156294.Finally, GCF of Fractions for 2125/342, 4362/4113 is 1/156294.