Greatest Common Factor of 5396/988, 7432/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5396/988, 7432/600

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 5396/988,7432/600

Given fractions are 5396/988,7432/600

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 5396,7432

Greatest Common Factor of Numerators i.e. GCF of 5396,7432 is 4 .

LCM of Denominators means LCM of 988,600 as per the given fractions.

LCM of 988,600 is 148200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5396,7432

GCF of Fractions 5396/988,7432/600 is 4/148200

2 5396, 7432
2 2698, 3716
1349, 1858

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5396,7432 By Matching Biggest Common Factor Method

Greatest Common Factor of 5396,7432 By Matching Biggest Common Factor Method

Factors of 5396

List of positive integer factors of 5396 that divides 5396 without a remainder.

1,2,4,19,38,71,76,142,284,1349,2698,5396

Factors of 7432

List of positive integer factors of 7432 that divides 7432 without a remainder.

1,2,4,8,929,1858,3716,7432

Greatest Common Factor

We found the factors 5396,7432 . The biggest common factor number is the GCF number.
So the greatest common factor 5396,7432 is 4.

Lets's calculate LCM of 988,600

2 988, 600
2 494, 300
247, 150

∴ So the LCM of the given numbers is 2 x 2 x 247 x 150 = 148200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/148200

Therefore, the GCF of Fractions 5396/988,7432/600 is 4/148200

Least Common Multiple of 988,600 with GCF Formula

Least Common Multiple of 988,600 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 988,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,600) = 4

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

GCF(988,600) x common factors =4 x 1 = 4

LCM(988,600) = ( 988 × 600 ) / 4

LCM(988,600) = 592800 / 4

LCM(988,600) = 148200


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 5396/988, 7432/600

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 5396/988, 7432/600?

Answer: GCF of Numerators as per given numbers 5396/988, 7432/600 is

GCF of Numerators i.e. for 5396,7432 is 4

LCM of denominators i.e. for 988,600 is 148200.

Thus, GCF of Fractions is 4/148200.Finally, GCF of Fractions for 5396/988, 7432/600 is 4/148200.