Greatest Common Factor of 8661/74, 1139/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8661/74, 1139/500

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 8661/74,1139/500

Given fractions are 8661/74,1139/500

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 8661,1139

Greatest Common Factor of Numerators i.e. GCF of 8661,1139 is 1 .

LCM of Denominators means LCM of 74,500 as per the given fractions.

LCM of 74,500 is 18500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8661,1139

GCF of Fractions 8661/74,1139/500 is 1/18500

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

Greatest Common Factor of 8661,1139 By Matching Biggest Common Factor Method

Greatest Common Factor of 8661,1139 By Matching Biggest Common Factor Method

Factors of 8661

List of positive integer factors of 8661 that divides 8661 without a remainder.

1,3,2887,8661

Factors of 1139

List of positive integer factors of 1139 that divides 1139 without a remainder.

1,17,67,1139

Greatest Common Factor

We found the factors 8661,1139 . The biggest common factor number is the GCF number.
So the greatest common factor 8661,1139 is 1.

Lets's calculate LCM of 74,500

2 74, 500
37, 250

∴ So the LCM of the given numbers is 2 x 37 x 250 = 18500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18500

Therefore, the GCF of Fractions 8661/74,1139/500 is 1/18500

Least Common Multiple of 74,500 with GCF Formula

Least Common Multiple of 74,500 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 74,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,500) = 2

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

GCF(74,500) x common factors =2 x 1 = 2

LCM(74,500) = ( 74 × 500 ) / 2

LCM(74,500) = 37000 / 2

LCM(74,500) = 18500


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 8661/74, 1139/500

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 8661/74, 1139/500?

Answer: GCF of Numerators as per given numbers 8661/74, 1139/500 is

GCF of Numerators i.e. for 8661,1139 is 1

LCM of denominators i.e. for 74,500 is 18500.

Thus, GCF of Fractions is 1/18500.Finally, GCF of Fractions for 8661/74, 1139/500 is 1/18500.