Greatest Common Factor of 3921/258, 5938/4318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3921/258, 5938/4318

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 3921/258,5938/4318

Given fractions are 3921/258,5938/4318

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 3921,5938

Greatest Common Factor of Numerators i.e. GCF of 3921,5938 is 1 .

LCM of Denominators means LCM of 258,4318 as per the given fractions.

LCM of 258,4318 is 557022 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3921,5938

GCF of Fractions 3921/258,5938/4318 is 1/557022

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

Greatest Common Factor of 3921,5938 By Matching Biggest Common Factor Method

Greatest Common Factor of 3921,5938 By Matching Biggest Common Factor Method

Factors of 3921

List of positive integer factors of 3921 that divides 3921 without a remainder.

1,3,1307,3921

Factors of 5938

List of positive integer factors of 5938 that divides 5938 without a remainder.

1,2,2969,5938

Greatest Common Factor

We found the factors 3921,5938 . The biggest common factor number is the GCF number.
So the greatest common factor 3921,5938 is 1.

Lets's calculate LCM of 258,4318

2 258, 4318
129, 2159

∴ So the LCM of the given numbers is 2 x 129 x 2159 = 557022

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/557022

Therefore, the GCF of Fractions 3921/258,5938/4318 is 1/557022

Least Common Multiple of 258,4318 with GCF Formula

Least Common Multiple of 258,4318 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 258,4318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,4318) = 2

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

GCF(258,4318) x common factors =2 x 1 = 2

LCM(258,4318) = ( 258 × 4318 ) / 2

LCM(258,4318) = 1114044 / 2

LCM(258,4318) = 557022


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 3921/258, 5938/4318

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 3921/258, 5938/4318?

Answer: GCF of Numerators as per given numbers 3921/258, 5938/4318 is

GCF of Numerators i.e. for 3921,5938 is 1

LCM of denominators i.e. for 258,4318 is 557022.

Thus, GCF of Fractions is 1/557022.Finally, GCF of Fractions for 3921/258, 5938/4318 is 1/557022.