Greatest Common Factor of 6478/138, 8034/1756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6478/138, 8034/1756

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 6478/138,8034/1756

Given fractions are 6478/138,8034/1756

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 6478,8034

Greatest Common Factor of Numerators i.e. GCF of 6478,8034 is 2 .

LCM of Denominators means LCM of 138,1756 as per the given fractions.

LCM of 138,1756 is 121164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6478,8034

GCF of Fractions 6478/138,8034/1756 is 2/121164

2 6478, 8034
3239, 4017

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

Greatest Common Factor of 6478,8034 By Matching Biggest Common Factor Method

Greatest Common Factor of 6478,8034 By Matching Biggest Common Factor Method

Factors of 6478

List of positive integer factors of 6478 that divides 6478 without a remainder.

1,2,41,79,82,158,3239,6478

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Greatest Common Factor

We found the factors 6478,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 6478,8034 is 2.

Lets's calculate LCM of 138,1756

2 138, 1756
69, 878

∴ So the LCM of the given numbers is 2 x 69 x 878 = 121164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121164

Therefore, the GCF of Fractions 6478/138,8034/1756 is 2/121164

Least Common Multiple of 138,1756 with GCF Formula

Least Common Multiple of 138,1756 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 138,1756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,1756) = 2

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

GCF(138,1756) x common factors =2 x 1 = 2

LCM(138,1756) = ( 138 × 1756 ) / 2

LCM(138,1756) = 242328 / 2

LCM(138,1756) = 121164


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 6478/138, 8034/1756

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 6478/138, 8034/1756?

Answer: GCF of Numerators as per given numbers 6478/138, 8034/1756 is

GCF of Numerators i.e. for 6478,8034 is 2

LCM of denominators i.e. for 138,1756 is 121164.

Thus, GCF of Fractions is 2/121164.Finally, GCF of Fractions for 6478/138, 8034/1756 is 2/121164.