Greatest Common Factor of 938/278, 8722/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 938/278, 8722/509

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 938/278,8722/509

Given fractions are 938/278,8722/509

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 938,8722

Greatest Common Factor of Numerators i.e. GCF of 938,8722 is 14 .

LCM of Denominators means LCM of 278,509 as per the given fractions.

LCM of 278,509 is 141502 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 938,8722

GCF of Fractions 938/278,8722/509 is 14/141502

2 938, 8722
7 469, 4361
67, 623

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 938,8722 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,8722 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 8722

List of positive integer factors of 8722 that divides 8722 without a remainder.

1,2,7,14,49,89,98,178,623,1246,4361,8722

Greatest Common Factor

We found the factors 938,8722 . The biggest common factor number is the GCF number.
So the greatest common factor 938,8722 is 14.

Lets's calculate LCM of 278,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 141502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/141502

Therefore, the GCF of Fractions 938/278,8722/509 is 14/141502

Least Common Multiple of 278,509 with GCF Formula

Least Common Multiple of 278,509 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 278,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,509) = 1

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

GCF(278,509) x common factors =1 x 1 = 1

LCM(278,509) = ( 278 × 509 ) / 1

LCM(278,509) = 141502 / 1

LCM(278,509) = 141502


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 938/278, 8722/509

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 938/278, 8722/509?

Answer: GCF of Numerators as per given numbers 938/278, 8722/509 is

GCF of Numerators i.e. for 938,8722 is 14

LCM of denominators i.e. for 278,509 is 141502.

Thus, GCF of Fractions is 14/141502.Finally, GCF of Fractions for 938/278, 8722/509 is 14/141502.