Greatest Common Factor of 797/340, 2686/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 797/340, 2686/108

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 797/340,2686/108

Given fractions are 797/340,2686/108

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 797,2686

Greatest Common Factor of Numerators i.e. GCF of 797,2686 is 1 .

LCM of Denominators means LCM of 340,108 as per the given fractions.

LCM of 340,108 is 9180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 797,2686

GCF of Fractions 797/340,2686/108 is 1/9180

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

Greatest Common Factor of 797,2686 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,2686 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 2686

List of positive integer factors of 2686 that divides 2686 without a remainder.

1,2,17,34,79,158,1343,2686

Greatest Common Factor

We found the factors 797,2686 . The biggest common factor number is the GCF number.
So the greatest common factor 797,2686 is 1.

Lets's calculate LCM of 340,108

2 340, 108
2 170, 54
85, 27

∴ So the LCM of the given numbers is 2 x 2 x 85 x 27 = 9180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9180

Therefore, the GCF of Fractions 797/340,2686/108 is 1/9180

Least Common Multiple of 340,108 with GCF Formula

Least Common Multiple of 340,108 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 340,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,108) = 4

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

GCF(340,108) x common factors =4 x 1 = 4

LCM(340,108) = ( 340 × 108 ) / 4

LCM(340,108) = 36720 / 4

LCM(340,108) = 9180


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 797/340, 2686/108

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 797/340, 2686/108?

Answer: GCF of Numerators as per given numbers 797/340, 2686/108 is

GCF of Numerators i.e. for 797,2686 is 1

LCM of denominators i.e. for 340,108 is 9180.

Thus, GCF of Fractions is 1/9180.Finally, GCF of Fractions for 797/340, 2686/108 is 1/9180.