Greatest Common Factor of 8491/326, 3543/4131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8491/326, 3543/4131

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 8491/326,3543/4131

Given fractions are 8491/326,3543/4131

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 8491,3543

Greatest Common Factor of Numerators i.e. GCF of 8491,3543 is 1 .

LCM of Denominators means LCM of 326,4131 as per the given fractions.

LCM of 326,4131 is 1346706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8491,3543

GCF of Fractions 8491/326,3543/4131 is 1/1346706

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

Greatest Common Factor of 8491,3543 By Matching Biggest Common Factor Method

Greatest Common Factor of 8491,3543 By Matching Biggest Common Factor Method

Factors of 8491

List of positive integer factors of 8491 that divides 8491 without a remainder.

1,7,1213,8491

Factors of 3543

List of positive integer factors of 3543 that divides 3543 without a remainder.

1,3,1181,3543

Greatest Common Factor

We found the factors 8491,3543 . The biggest common factor number is the GCF number.
So the greatest common factor 8491,3543 is 1.

Lets's calculate LCM of 326,4131

Given numbers has no common factors except 1. So, there LCM is their product i.e 1346706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1346706

Therefore, the GCF of Fractions 8491/326,3543/4131 is 1/1346706

Least Common Multiple of 326,4131 with GCF Formula

Least Common Multiple of 326,4131 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 326,4131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,4131) = 1

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

GCF(326,4131) x common factors =1 x 1 = 1

LCM(326,4131) = ( 326 × 4131 ) / 1

LCM(326,4131) = 1346706 / 1

LCM(326,4131) = 1346706


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 8491/326, 3543/4131

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 8491/326, 3543/4131?

Answer: GCF of Numerators as per given numbers 8491/326, 3543/4131 is

GCF of Numerators i.e. for 8491,3543 is 1

LCM of denominators i.e. for 326,4131 is 1346706.

Thus, GCF of Fractions is 1/1346706.Finally, GCF of Fractions for 8491/326, 3543/4131 is 1/1346706.