Greatest Common Factor of 6004/378, 3172/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6004/378, 3172/731

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 6004/378,3172/731

Given fractions are 6004/378,3172/731

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 6004,3172

Greatest Common Factor of Numerators i.e. GCF of 6004,3172 is 4 .

LCM of Denominators means LCM of 378,731 as per the given fractions.

LCM of 378,731 is 276318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6004,3172

GCF of Fractions 6004/378,3172/731 is 4/276318

2 6004, 3172
2 3002, 1586
1501, 793

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6004,3172 By Matching Biggest Common Factor Method

Greatest Common Factor of 6004,3172 By Matching Biggest Common Factor Method

Factors of 6004

List of positive integer factors of 6004 that divides 6004 without a remainder.

1,2,4,19,38,76,79,158,316,1501,3002,6004

Factors of 3172

List of positive integer factors of 3172 that divides 3172 without a remainder.

1,2,4,13,26,52,61,122,244,793,1586,3172

Greatest Common Factor

We found the factors 6004,3172 . The biggest common factor number is the GCF number.
So the greatest common factor 6004,3172 is 4.

Lets's calculate LCM of 378,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 276318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/276318

Therefore, the GCF of Fractions 6004/378,3172/731 is 4/276318

Least Common Multiple of 378,731 with GCF Formula

Least Common Multiple of 378,731 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 378,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,731) = 1

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

GCF(378,731) x common factors =1 x 1 = 1

LCM(378,731) = ( 378 × 731 ) / 1

LCM(378,731) = 276318 / 1

LCM(378,731) = 276318


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 6004/378, 3172/731

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 6004/378, 3172/731?

Answer: GCF of Numerators as per given numbers 6004/378, 3172/731 is

GCF of Numerators i.e. for 6004,3172 is 4

LCM of denominators i.e. for 378,731 is 276318.

Thus, GCF of Fractions is 4/276318.Finally, GCF of Fractions for 6004/378, 3172/731 is 4/276318.