Greatest Common Factor of 6099/744, 7392/6376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6099/744, 7392/6376

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 6099/744,7392/6376

Given fractions are 6099/744,7392/6376

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 6099,7392

Greatest Common Factor of Numerators i.e. GCF of 6099,7392 is 3 .

LCM of Denominators means LCM of 744,6376 as per the given fractions.

LCM of 744,6376 is 592968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6099,7392

GCF of Fractions 6099/744,7392/6376 is 3/592968

3 6099, 7392
2033, 2464

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6099,7392 By Matching Biggest Common Factor Method

Greatest Common Factor of 6099,7392 By Matching Biggest Common Factor Method

Factors of 6099

List of positive integer factors of 6099 that divides 6099 without a remainder.

1,3,19,57,107,321,2033,6099

Factors of 7392

List of positive integer factors of 7392 that divides 7392 without a remainder.

1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,32,33,42,44,48,56,66,77,84,88,96,112,132,154,168,176,224,231,264,308,336,352,462,528,616,672,924,1056,1232,1848,2464,3696,7392

Greatest Common Factor

We found the factors 6099,7392 . The biggest common factor number is the GCF number.
So the greatest common factor 6099,7392 is 3.

Lets's calculate LCM of 744,6376

2 744, 6376
2 372, 3188
2 186, 1594
93, 797

∴ So the LCM of the given numbers is 2 x 2 x 2 x 93 x 797 = 592968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/592968

Therefore, the GCF of Fractions 6099/744,7392/6376 is 3/592968

Least Common Multiple of 744,6376 with GCF Formula

Least Common Multiple of 744,6376 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 744,6376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,6376) = 8

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

GCF(744,6376) x common factors =8 x 1 = 8

LCM(744,6376) = ( 744 × 6376 ) / 8

LCM(744,6376) = 4743744 / 8

LCM(744,6376) = 592968


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 6099/744, 7392/6376

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 6099/744, 7392/6376?

Answer: GCF of Numerators as per given numbers 6099/744, 7392/6376 is

GCF of Numerators i.e. for 6099,7392 is 3

LCM of denominators i.e. for 744,6376 is 592968.

Thus, GCF of Fractions is 3/592968.Finally, GCF of Fractions for 6099/744, 7392/6376 is 3/592968.