Greatest Common Factor of 5942/13, 7538/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5942/13, 7538/634

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 5942/13,7538/634

Given fractions are 5942/13,7538/634

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 5942,7538

Greatest Common Factor of Numerators i.e. GCF of 5942,7538 is 2 .

LCM of Denominators means LCM of 13,634 as per the given fractions.

LCM of 13,634 is 8242 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5942,7538

GCF of Fractions 5942/13,7538/634 is 2/8242

2 5942, 7538
2971, 3769

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5942,7538 By Matching Biggest Common Factor Method

Greatest Common Factor of 5942,7538 By Matching Biggest Common Factor Method

Factors of 5942

List of positive integer factors of 5942 that divides 5942 without a remainder.

1,2,2971,5942

Factors of 7538

List of positive integer factors of 7538 that divides 7538 without a remainder.

1,2,3769,7538

Greatest Common Factor

We found the factors 5942,7538 . The biggest common factor number is the GCF number.
So the greatest common factor 5942,7538 is 2.

Lets's calculate LCM of 13,634

Given numbers has no common factors except 1. So, there LCM is their product i.e 8242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8242

Therefore, the GCF of Fractions 5942/13,7538/634 is 2/8242

Least Common Multiple of 13,634 with GCF Formula

Least Common Multiple of 13,634 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 13,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,634) = 1

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

GCF(13,634) x common factors =1 x 1 = 1

LCM(13,634) = ( 13 × 634 ) / 1

LCM(13,634) = 8242 / 1

LCM(13,634) = 8242


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 5942/13, 7538/634

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 5942/13, 7538/634?

Answer: GCF of Numerators as per given numbers 5942/13, 7538/634 is

GCF of Numerators i.e. for 5942,7538 is 2

LCM of denominators i.e. for 13,634 is 8242.

Thus, GCF of Fractions is 2/8242.Finally, GCF of Fractions for 5942/13, 7538/634 is 2/8242.