Greatest Common Factor of 5072/940, 5518/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5072/940, 5518/938

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 5072/940,5518/938

Given fractions are 5072/940,5518/938

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 5072,5518

Greatest Common Factor of Numerators i.e. GCF of 5072,5518 is 2 .

LCM of Denominators means LCM of 940,938 as per the given fractions.

LCM of 940,938 is 440860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5072,5518

GCF of Fractions 5072/940,5518/938 is 2/440860

2 5072, 5518
2536, 2759

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

Greatest Common Factor of 5072,5518 By Matching Biggest Common Factor Method

Greatest Common Factor of 5072,5518 By Matching Biggest Common Factor Method

Factors of 5072

List of positive integer factors of 5072 that divides 5072 without a remainder.

1,2,4,8,16,317,634,1268,2536,5072

Factors of 5518

List of positive integer factors of 5518 that divides 5518 without a remainder.

1,2,31,62,89,178,2759,5518

Greatest Common Factor

We found the factors 5072,5518 . The biggest common factor number is the GCF number.
So the greatest common factor 5072,5518 is 2.

Lets's calculate LCM of 940,938

2 940, 938
470, 469

∴ So the LCM of the given numbers is 2 x 470 x 469 = 440860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/440860

Therefore, the GCF of Fractions 5072/940,5518/938 is 2/440860

Least Common Multiple of 940,938 with GCF Formula

Least Common Multiple of 940,938 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 940,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,938) = 2

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

GCF(940,938) x common factors =2 x 1 = 2

LCM(940,938) = ( 940 × 938 ) / 2

LCM(940,938) = 881720 / 2

LCM(940,938) = 440860


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 5072/940, 5518/938

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 5072/940, 5518/938?

Answer: GCF of Numerators as per given numbers 5072/940, 5518/938 is

GCF of Numerators i.e. for 5072,5518 is 2

LCM of denominators i.e. for 940,938 is 440860.

Thus, GCF of Fractions is 2/440860.Finally, GCF of Fractions for 5072/940, 5518/938 is 2/440860.