Greatest Common Factor of 5199/74, 6141/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5199/74, 6141/507

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 5199/74,6141/507

Given fractions are 5199/74,6141/507

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 5199,6141

Greatest Common Factor of Numerators i.e. GCF of 5199,6141 is 3 .

LCM of Denominators means LCM of 74,507 as per the given fractions.

LCM of 74,507 is 37518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5199,6141

GCF of Fractions 5199/74,6141/507 is 3/37518

3 5199, 6141
1733, 2047

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

Greatest Common Factor of 5199,6141 By Matching Biggest Common Factor Method

Greatest Common Factor of 5199,6141 By Matching Biggest Common Factor Method

Factors of 5199

List of positive integer factors of 5199 that divides 5199 without a remainder.

1,3,1733,5199

Factors of 6141

List of positive integer factors of 6141 that divides 6141 without a remainder.

1,3,23,69,89,267,2047,6141

Greatest Common Factor

We found the factors 5199,6141 . The biggest common factor number is the GCF number.
So the greatest common factor 5199,6141 is 3.

Lets's calculate LCM of 74,507

Given numbers has no common factors except 1. So, there LCM is their product i.e 37518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/37518

Therefore, the GCF of Fractions 5199/74,6141/507 is 3/37518

Least Common Multiple of 74,507 with GCF Formula

Least Common Multiple of 74,507 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 74,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,507) = 1

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

GCF(74,507) x common factors =1 x 1 = 1

LCM(74,507) = ( 74 × 507 ) / 1

LCM(74,507) = 37518 / 1

LCM(74,507) = 37518


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 5199/74, 6141/507

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 5199/74, 6141/507?

Answer: GCF of Numerators as per given numbers 5199/74, 6141/507 is

GCF of Numerators i.e. for 5199,6141 is 3

LCM of denominators i.e. for 74,507 is 37518.

Thus, GCF of Fractions is 3/37518.Finally, GCF of Fractions for 5199/74, 6141/507 is 3/37518.