Greatest Common Factor of 6393/58, 3141/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6393/58, 3141/961

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 6393/58,3141/961

Given fractions are 6393/58,3141/961

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 6393,3141

Greatest Common Factor of Numerators i.e. GCF of 6393,3141 is 3 .

LCM of Denominators means LCM of 58,961 as per the given fractions.

LCM of 58,961 is 55738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6393,3141

GCF of Fractions 6393/58,3141/961 is 3/55738

3 6393, 3141
2131, 1047

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6393,3141 By Matching Biggest Common Factor Method

Greatest Common Factor of 6393,3141 By Matching Biggest Common Factor Method

Factors of 6393

List of positive integer factors of 6393 that divides 6393 without a remainder.

1,3,2131,6393

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1,3,9,349,1047,3141

Greatest Common Factor

We found the factors 6393,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 6393,3141 is 3.

Lets's calculate LCM of 58,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 55738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/55738

Therefore, the GCF of Fractions 6393/58,3141/961 is 3/55738

Least Common Multiple of 58,961 with GCF Formula

Least Common Multiple of 58,961 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 58,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,961) = 1

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

GCF(58,961) x common factors =1 x 1 = 1

LCM(58,961) = ( 58 × 961 ) / 1

LCM(58,961) = 55738 / 1

LCM(58,961) = 55738


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 6393/58, 3141/961

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 6393/58, 3141/961?

Answer: GCF of Numerators as per given numbers 6393/58, 3141/961 is

GCF of Numerators i.e. for 6393,3141 is 3

LCM of denominators i.e. for 58,961 is 55738.

Thus, GCF of Fractions is 3/55738.Finally, GCF of Fractions for 6393/58, 3141/961 is 3/55738.