Greatest Common Factor of 139/5728, 973/4938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 139/5728, 973/4938

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 139/5728,973/4938

Given fractions are 139/5728,973/4938

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 139,973

Greatest Common Factor of Numerators i.e. GCF of 139,973 is 139 .

LCM of Denominators means LCM of 5728,4938 as per the given fractions.

LCM of 5728,4938 is 14142432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 139,973

GCF of Fractions 139/5728,973/4938 is 139/14142432

139 139, 973
1, 7

∴ So the GCF of the given numbers is 139 = 139

Greatest Common Factor of 139,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,973 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 139,973 . The biggest common factor number is the GCF number.
So the greatest common factor 139,973 is 139.

Lets's calculate LCM of 5728,4938

2 5728, 4938
2864, 2469

∴ So the LCM of the given numbers is 2 x 2864 x 2469 = 14142432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 139/14142432

Therefore, the GCF of Fractions 139/5728,973/4938 is 139/14142432

Least Common Multiple of 5728,4938 with GCF Formula

Least Common Multiple of 5728,4938 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 5728,4938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5728,4938) = 2

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

GCF(5728,4938) x common factors =2 x 1 = 2

LCM(5728,4938) = ( 5728 × 4938 ) / 2

LCM(5728,4938) = 28284864 / 2

LCM(5728,4938) = 14142432


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 139/5728, 973/4938

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 139/5728, 973/4938?

Answer: GCF of Numerators as per given numbers 139/5728, 973/4938 is

GCF of Numerators i.e. for 139,973 is 139

LCM of denominators i.e. for 5728,4938 is 14142432.

Thus, GCF of Fractions is 139/14142432.Finally, GCF of Fractions for 139/5728, 973/4938 is 139/14142432.