Greatest Common Factor of 3107/684, 6241/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3107/684, 6241/397

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 3107/684,6241/397

Given fractions are 3107/684,6241/397

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 3107,6241

Greatest Common Factor of Numerators i.e. GCF of 3107,6241 is 1 .

LCM of Denominators means LCM of 684,397 as per the given fractions.

LCM of 684,397 is 271548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3107,6241

GCF of Fractions 3107/684,6241/397 is 1/271548

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3107,6241 By Matching Biggest Common Factor Method

Greatest Common Factor of 3107,6241 By Matching Biggest Common Factor Method

Factors of 3107

List of positive integer factors of 3107 that divides 3107 without a remainder.

1,13,239,3107

Factors of 6241

List of positive integer factors of 6241 that divides 6241 without a remainder.

1,79,6241

Greatest Common Factor

We found the factors 3107,6241 . The biggest common factor number is the GCF number.
So the greatest common factor 3107,6241 is 1.

Lets's calculate LCM of 684,397

Given numbers has no common factors except 1. So, there LCM is their product i.e 271548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271548

Therefore, the GCF of Fractions 3107/684,6241/397 is 1/271548

Least Common Multiple of 684,397 with GCF Formula

Least Common Multiple of 684,397 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 684,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,397) = 1

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

GCF(684,397) x common factors =1 x 1 = 1

LCM(684,397) = ( 684 × 397 ) / 1

LCM(684,397) = 271548 / 1

LCM(684,397) = 271548


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 3107/684, 6241/397

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 3107/684, 6241/397?

Answer: GCF of Numerators as per given numbers 3107/684, 6241/397 is

GCF of Numerators i.e. for 3107,6241 is 1

LCM of denominators i.e. for 684,397 is 271548.

Thus, GCF of Fractions is 1/271548.Finally, GCF of Fractions for 3107/684, 6241/397 is 1/271548.