Greatest Common Factor of 7596/74, 7838/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7596/74, 7838/239

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 7596/74,7838/239

Given fractions are 7596/74,7838/239

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 7596,7838

Greatest Common Factor of Numerators i.e. GCF of 7596,7838 is 2 .

LCM of Denominators means LCM of 74,239 as per the given fractions.

LCM of 74,239 is 17686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7596,7838

GCF of Fractions 7596/74,7838/239 is 2/17686

2 7596, 7838
3798, 3919

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

Greatest Common Factor of 7596,7838 By Matching Biggest Common Factor Method

Greatest Common Factor of 7596,7838 By Matching Biggest Common Factor Method

Factors of 7596

List of positive integer factors of 7596 that divides 7596 without a remainder.

1,2,3,4,6,9,12,18,36,211,422,633,844,1266,1899,2532,3798,7596

Factors of 7838

List of positive integer factors of 7838 that divides 7838 without a remainder.

1,2,3919,7838

Greatest Common Factor

We found the factors 7596,7838 . The biggest common factor number is the GCF number.
So the greatest common factor 7596,7838 is 2.

Lets's calculate LCM of 74,239

Given numbers has no common factors except 1. So, there LCM is their product i.e 17686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17686

Therefore, the GCF of Fractions 7596/74,7838/239 is 2/17686

Least Common Multiple of 74,239 with GCF Formula

Least Common Multiple of 74,239 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 74,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,239) = 1

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

GCF(74,239) x common factors =1 x 1 = 1

LCM(74,239) = ( 74 × 239 ) / 1

LCM(74,239) = 17686 / 1

LCM(74,239) = 17686


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 7596/74, 7838/239

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 7596/74, 7838/239?

Answer: GCF of Numerators as per given numbers 7596/74, 7838/239 is

GCF of Numerators i.e. for 7596,7838 is 2

LCM of denominators i.e. for 74,239 is 17686.

Thus, GCF of Fractions is 2/17686.Finally, GCF of Fractions for 7596/74, 7838/239 is 2/17686.