Greatest Common Factor of 239/312, 5956/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 239/312, 5956/382

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 239/312,5956/382

Given fractions are 239/312,5956/382

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 239,5956

Greatest Common Factor of Numerators i.e. GCF of 239,5956 is 1 .

LCM of Denominators means LCM of 312,382 as per the given fractions.

LCM of 312,382 is 59592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 239,5956

GCF of Fractions 239/312,5956/382 is 1/59592

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

Greatest Common Factor of 239,5956 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,5956 By Matching Biggest Common Factor Method

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 5956

List of positive integer factors of 5956 that divides 5956 without a remainder.

1,2,4,1489,2978,5956

Greatest Common Factor

We found the factors 239,5956 . The biggest common factor number is the GCF number.
So the greatest common factor 239,5956 is 1.

Lets's calculate LCM of 312,382

2 312, 382
156, 191

∴ So the LCM of the given numbers is 2 x 156 x 191 = 59592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59592

Therefore, the GCF of Fractions 239/312,5956/382 is 1/59592

Least Common Multiple of 312,382 with GCF Formula

Least Common Multiple of 312,382 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 312,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,382) = 2

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

GCF(312,382) x common factors =2 x 1 = 2

LCM(312,382) = ( 312 × 382 ) / 2

LCM(312,382) = 119184 / 2

LCM(312,382) = 59592


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 239/312, 5956/382

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 239/312, 5956/382?

Answer: GCF of Numerators as per given numbers 239/312, 5956/382 is

GCF of Numerators i.e. for 239,5956 is 1

LCM of denominators i.e. for 312,382 is 59592.

Thus, GCF of Fractions is 1/59592.Finally, GCF of Fractions for 239/312, 5956/382 is 1/59592.