Greatest Common Factor of 8589/95, 3869/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8589/95, 3869/716

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 8589/95,3869/716

Given fractions are 8589/95,3869/716

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 8589,3869

Greatest Common Factor of Numerators i.e. GCF of 8589,3869 is 1 .

LCM of Denominators means LCM of 95,716 as per the given fractions.

LCM of 95,716 is 68020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8589,3869

GCF of Fractions 8589/95,3869/716 is 1/68020

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

Greatest Common Factor of 8589,3869 By Matching Biggest Common Factor Method

Greatest Common Factor of 8589,3869 By Matching Biggest Common Factor Method

Factors of 8589

List of positive integer factors of 8589 that divides 8589 without a remainder.

1,3,7,21,409,1227,2863,8589

Factors of 3869

List of positive integer factors of 3869 that divides 3869 without a remainder.

1,53,73,3869

Greatest Common Factor

We found the factors 8589,3869 . The biggest common factor number is the GCF number.
So the greatest common factor 8589,3869 is 1.

Lets's calculate LCM of 95,716

Given numbers has no common factors except 1. So, there LCM is their product i.e 68020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68020

Therefore, the GCF of Fractions 8589/95,3869/716 is 1/68020

Least Common Multiple of 95,716 with GCF Formula

Least Common Multiple of 95,716 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 95,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,716) = 1

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

GCF(95,716) x common factors =1 x 1 = 1

LCM(95,716) = ( 95 × 716 ) / 1

LCM(95,716) = 68020 / 1

LCM(95,716) = 68020


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 8589/95, 3869/716

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 8589/95, 3869/716?

Answer: GCF of Numerators as per given numbers 8589/95, 3869/716 is

GCF of Numerators i.e. for 8589,3869 is 1

LCM of denominators i.e. for 95,716 is 68020.

Thus, GCF of Fractions is 1/68020.Finally, GCF of Fractions for 8589/95, 3869/716 is 1/68020.