Greatest Common Factor of 6378/58, 3518/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6378/58, 3518/639

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 6378/58,3518/639

Given fractions are 6378/58,3518/639

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 6378,3518

Greatest Common Factor of Numerators i.e. GCF of 6378,3518 is 2 .

LCM of Denominators means LCM of 58,639 as per the given fractions.

LCM of 58,639 is 37062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6378,3518

GCF of Fractions 6378/58,3518/639 is 2/37062

2 6378, 3518
3189, 1759

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

Greatest Common Factor of 6378,3518 By Matching Biggest Common Factor Method

Greatest Common Factor of 6378,3518 By Matching Biggest Common Factor Method

Factors of 6378

List of positive integer factors of 6378 that divides 6378 without a remainder.

1,2,3,6,1063,2126,3189,6378

Factors of 3518

List of positive integer factors of 3518 that divides 3518 without a remainder.

1,2,1759,3518

Greatest Common Factor

We found the factors 6378,3518 . The biggest common factor number is the GCF number.
So the greatest common factor 6378,3518 is 2.

Lets's calculate LCM of 58,639

Given numbers has no common factors except 1. So, there LCM is their product i.e 37062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37062

Therefore, the GCF of Fractions 6378/58,3518/639 is 2/37062

Least Common Multiple of 58,639 with GCF Formula

Least Common Multiple of 58,639 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 58,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,639) = 1

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

GCF(58,639) x common factors =1 x 1 = 1

LCM(58,639) = ( 58 × 639 ) / 1

LCM(58,639) = 37062 / 1

LCM(58,639) = 37062


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 6378/58, 3518/639

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 6378/58, 3518/639?

Answer: GCF of Numerators as per given numbers 6378/58, 3518/639 is

GCF of Numerators i.e. for 6378,3518 is 2

LCM of denominators i.e. for 58,639 is 37062.

Thus, GCF of Fractions is 2/37062.Finally, GCF of Fractions for 6378/58, 3518/639 is 2/37062.