Greatest Common Factor of 5088/51, 6338/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5088/51, 6338/846

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 5088/51,6338/846

Given fractions are 5088/51,6338/846

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 5088,6338

Greatest Common Factor of Numerators i.e. GCF of 5088,6338 is 2 .

LCM of Denominators means LCM of 51,846 as per the given fractions.

LCM of 51,846 is 14382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5088,6338

GCF of Fractions 5088/51,6338/846 is 2/14382

2 5088, 6338
2544, 3169

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

Greatest Common Factor of 5088,6338 By Matching Biggest Common Factor Method

Greatest Common Factor of 5088,6338 By Matching Biggest Common Factor Method

Factors of 5088

List of positive integer factors of 5088 that divides 5088 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,53,96,106,159,212,318,424,636,848,1272,1696,2544,5088

Factors of 6338

List of positive integer factors of 6338 that divides 6338 without a remainder.

1,2,3169,6338

Greatest Common Factor

We found the factors 5088,6338 . The biggest common factor number is the GCF number.
So the greatest common factor 5088,6338 is 2.

Lets's calculate LCM of 51,846

3 51, 846
17, 282

∴ So the LCM of the given numbers is 3 x 17 x 282 = 14382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14382

Therefore, the GCF of Fractions 5088/51,6338/846 is 2/14382

Least Common Multiple of 51,846 with GCF Formula

Least Common Multiple of 51,846 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 51,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,846) = 3

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

GCF(51,846) x common factors =3 x 1 = 3

LCM(51,846) = ( 51 × 846 ) / 3

LCM(51,846) = 43146 / 3

LCM(51,846) = 14382


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 5088/51, 6338/846

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 5088/51, 6338/846?

Answer: GCF of Numerators as per given numbers 5088/51, 6338/846 is

GCF of Numerators i.e. for 5088,6338 is 2

LCM of denominators i.e. for 51,846 is 14382.

Thus, GCF of Fractions is 2/14382.Finally, GCF of Fractions for 5088/51, 6338/846 is 2/14382.