Greatest Common Factor of 956/592, 277/242, 269/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 956/592, 277/242, 269/378

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 956/592,277/242,269/378

Given fractions are 956/592,277/242,269/378

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 956,277,269

Greatest Common Factor of Numerators i.e. GCF of 956,277,269 is 1 .

LCM of Denominators means LCM of 592,242,378 as per the given fractions.

LCM of 592,242,378 is 13538448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 956,277,269

GCF of Fractions 956/592,277/242,269/378 is 1/13538448

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

Greatest Common Factor of 956,277,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,277,269 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Greatest Common Factor

We found the factors 956,277,269 . The biggest common factor number is the GCF number.
So the greatest common factor 956,277,269 is 1.

Lets's calculate LCM of 592,242,378

2 592, 242, 378
296, 121, 189

∴ So the LCM of the given numbers is 2 x 296 x 121 x 189 = 13538448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13538448

Therefore, the GCF of Fractions 956/592,277/242,269/378 is 1/13538448

Least Common Multiple of 592,242,378 with GCF Formula

Least Common Multiple of 592,242,378 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 592,242,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,242,378) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(592,242,378) x common factors =2 x 2 = 4

LCM(592,242,378) = ( 592 × 242 × 378 ) / 4

LCM(592,242,378) = 54153792 / 4

LCM(592,242,378) = 13538448


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 956/592, 277/242, 269/378

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 956/592, 277/242, 269/378?

Answer: GCF of Numerators as per given numbers 956/592, 277/242, 269/378 is

GCF of Numerators i.e. for 956,277,269 is 1

LCM of denominators i.e. for 592,242,378 is 13538448.

Thus, GCF of Fractions is 1/13538448.Finally, GCF of Fractions for 956/592, 277/242, 269/378 is 1/13538448.