Greatest Common Factor of 7257/399, 5142/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7257/399, 5142/351

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 7257/399,5142/351

Given fractions are 7257/399,5142/351

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 7257,5142

Greatest Common Factor of Numerators i.e. GCF of 7257,5142 is 3 .

LCM of Denominators means LCM of 399,351 as per the given fractions.

LCM of 399,351 is 46683 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7257,5142

GCF of Fractions 7257/399,5142/351 is 3/46683

3 7257, 5142
2419, 1714

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

Greatest Common Factor of 7257,5142 By Matching Biggest Common Factor Method

Greatest Common Factor of 7257,5142 By Matching Biggest Common Factor Method

Factors of 7257

List of positive integer factors of 7257 that divides 7257 without a remainder.

1,3,41,59,123,177,2419,7257

Factors of 5142

List of positive integer factors of 5142 that divides 5142 without a remainder.

1,2,3,6,857,1714,2571,5142

Greatest Common Factor

We found the factors 7257,5142 . The biggest common factor number is the GCF number.
So the greatest common factor 7257,5142 is 3.

Lets's calculate LCM of 399,351

3 399, 351
133, 117

∴ So the LCM of the given numbers is 3 x 133 x 117 = 46683

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46683

Therefore, the GCF of Fractions 7257/399,5142/351 is 3/46683

Least Common Multiple of 399,351 with GCF Formula

Least Common Multiple of 399,351 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 399,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,351) = 3

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

GCF(399,351) x common factors =3 x 1 = 3

LCM(399,351) = ( 399 × 351 ) / 3

LCM(399,351) = 140049 / 3

LCM(399,351) = 46683


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 7257/399, 5142/351

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 7257/399, 5142/351?

Answer: GCF of Numerators as per given numbers 7257/399, 5142/351 is

GCF of Numerators i.e. for 7257,5142 is 3

LCM of denominators i.e. for 399,351 is 46683.

Thus, GCF of Fractions is 3/46683.Finally, GCF of Fractions for 7257/399, 5142/351 is 3/46683.