Greatest Common Factor of 8261/542, 3705/5372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8261/542, 3705/5372

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 8261/542,3705/5372

Given fractions are 8261/542,3705/5372

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 8261,3705

Greatest Common Factor of Numerators i.e. GCF of 8261,3705 is 1 .

LCM of Denominators means LCM of 542,5372 as per the given fractions.

LCM of 542,5372 is 1455812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8261,3705

GCF of Fractions 8261/542,3705/5372 is 1/1455812

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

Greatest Common Factor of 8261,3705 By Matching Biggest Common Factor Method

Greatest Common Factor of 8261,3705 By Matching Biggest Common Factor Method

Factors of 8261

List of positive integer factors of 8261 that divides 8261 without a remainder.

1,11,751,8261

Factors of 3705

List of positive integer factors of 3705 that divides 3705 without a remainder.

1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705

Greatest Common Factor

We found the factors 8261,3705 . The biggest common factor number is the GCF number.
So the greatest common factor 8261,3705 is 1.

Lets's calculate LCM of 542,5372

2 542, 5372
271, 2686

∴ So the LCM of the given numbers is 2 x 271 x 2686 = 1455812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1455812

Therefore, the GCF of Fractions 8261/542,3705/5372 is 1/1455812

Least Common Multiple of 542,5372 with GCF Formula

Least Common Multiple of 542,5372 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 542,5372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,5372) = 2

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

GCF(542,5372) x common factors =2 x 1 = 2

LCM(542,5372) = ( 542 × 5372 ) / 2

LCM(542,5372) = 2911624 / 2

LCM(542,5372) = 1455812


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 8261/542, 3705/5372

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 8261/542, 3705/5372?

Answer: GCF of Numerators as per given numbers 8261/542, 3705/5372 is

GCF of Numerators i.e. for 8261,3705 is 1

LCM of denominators i.e. for 542,5372 is 1455812.

Thus, GCF of Fractions is 1/1455812.Finally, GCF of Fractions for 8261/542, 3705/5372 is 1/1455812.