Greatest Common Factor of 8679/38, 2689/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8679/38, 2689/201

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 8679/38,2689/201

Given fractions are 8679/38,2689/201

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 8679,2689

Greatest Common Factor of Numerators i.e. GCF of 8679,2689 is 1 .

LCM of Denominators means LCM of 38,201 as per the given fractions.

LCM of 38,201 is 7638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8679,2689

GCF of Fractions 8679/38,2689/201 is 1/7638

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

Greatest Common Factor of 8679,2689 By Matching Biggest Common Factor Method

Greatest Common Factor of 8679,2689 By Matching Biggest Common Factor Method

Factors of 8679

List of positive integer factors of 8679 that divides 8679 without a remainder.

1,3,11,33,263,789,2893,8679

Factors of 2689

List of positive integer factors of 2689 that divides 2689 without a remainder.

1,2689

Greatest Common Factor

We found the factors 8679,2689 . The biggest common factor number is the GCF number.
So the greatest common factor 8679,2689 is 1.

Lets's calculate LCM of 38,201

Given numbers has no common factors except 1. So, there LCM is their product i.e 7638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7638

Therefore, the GCF of Fractions 8679/38,2689/201 is 1/7638

Least Common Multiple of 38,201 with GCF Formula

Least Common Multiple of 38,201 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 38,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,201) = 1

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

GCF(38,201) x common factors =1 x 1 = 1

LCM(38,201) = ( 38 × 201 ) / 1

LCM(38,201) = 7638 / 1

LCM(38,201) = 7638


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 8679/38, 2689/201

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 8679/38, 2689/201?

Answer: GCF of Numerators as per given numbers 8679/38, 2689/201 is

GCF of Numerators i.e. for 8679,2689 is 1

LCM of denominators i.e. for 38,201 is 7638.

Thus, GCF of Fractions is 1/7638.Finally, GCF of Fractions for 8679/38, 2689/201 is 1/7638.