Greatest Common Factor of 8621/57, 4138/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8621/57, 4138/643

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 8621/57,4138/643

Given fractions are 8621/57,4138/643

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 8621,4138

Greatest Common Factor of Numerators i.e. GCF of 8621,4138 is 1 .

LCM of Denominators means LCM of 57,643 as per the given fractions.

LCM of 57,643 is 36651 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8621,4138

GCF of Fractions 8621/57,4138/643 is 1/36651

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

Greatest Common Factor of 8621,4138 By Matching Biggest Common Factor Method

Greatest Common Factor of 8621,4138 By Matching Biggest Common Factor Method

Factors of 8621

List of positive integer factors of 8621 that divides 8621 without a remainder.

1,37,233,8621

Factors of 4138

List of positive integer factors of 4138 that divides 4138 without a remainder.

1,2,2069,4138

Greatest Common Factor

We found the factors 8621,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 8621,4138 is 1.

Lets's calculate LCM of 57,643

Given numbers has no common factors except 1. So, there LCM is their product i.e 36651

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36651

Therefore, the GCF of Fractions 8621/57,4138/643 is 1/36651

Least Common Multiple of 57,643 with GCF Formula

Least Common Multiple of 57,643 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 57,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,643) = 1

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

GCF(57,643) x common factors =1 x 1 = 1

LCM(57,643) = ( 57 × 643 ) / 1

LCM(57,643) = 36651 / 1

LCM(57,643) = 36651


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 8621/57, 4138/643

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 8621/57, 4138/643?

Answer: GCF of Numerators as per given numbers 8621/57, 4138/643 is

GCF of Numerators i.e. for 8621,4138 is 1

LCM of denominators i.e. for 57,643 is 36651.

Thus, GCF of Fractions is 1/36651.Finally, GCF of Fractions for 8621/57, 4138/643 is 1/36651.