Greatest Common Factor of 6298/378, 2648/3902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6298/378, 2648/3902

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 6298/378,2648/3902

Given fractions are 6298/378,2648/3902

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 6298,2648

Greatest Common Factor of Numerators i.e. GCF of 6298,2648 is 2 .

LCM of Denominators means LCM of 378,3902 as per the given fractions.

LCM of 378,3902 is 737478 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6298,2648

GCF of Fractions 6298/378,2648/3902 is 2/737478

2 6298, 2648
3149, 1324

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

Greatest Common Factor of 6298,2648 By Matching Biggest Common Factor Method

Greatest Common Factor of 6298,2648 By Matching Biggest Common Factor Method

Factors of 6298

List of positive integer factors of 6298 that divides 6298 without a remainder.

1,2,47,67,94,134,3149,6298

Factors of 2648

List of positive integer factors of 2648 that divides 2648 without a remainder.

1,2,4,8,331,662,1324,2648

Greatest Common Factor

We found the factors 6298,2648 . The biggest common factor number is the GCF number.
So the greatest common factor 6298,2648 is 2.

Lets's calculate LCM of 378,3902

2 378, 3902
189, 1951

∴ So the LCM of the given numbers is 2 x 189 x 1951 = 737478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/737478

Therefore, the GCF of Fractions 6298/378,2648/3902 is 2/737478

Least Common Multiple of 378,3902 with GCF Formula

Least Common Multiple of 378,3902 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 378,3902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,3902) = 2

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

GCF(378,3902) x common factors =2 x 1 = 2

LCM(378,3902) = ( 378 × 3902 ) / 2

LCM(378,3902) = 1474956 / 2

LCM(378,3902) = 737478


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 6298/378, 2648/3902

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 6298/378, 2648/3902?

Answer: GCF of Numerators as per given numbers 6298/378, 2648/3902 is

GCF of Numerators i.e. for 6298,2648 is 2

LCM of denominators i.e. for 378,3902 is 737478.

Thus, GCF of Fractions is 2/737478.Finally, GCF of Fractions for 6298/378, 2648/3902 is 2/737478.