Greatest Common Factor of 686/813, 6922/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/813, 6922/895

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 686/813,6922/895

Given fractions are 686/813,6922/895

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 686,6922

Greatest Common Factor of Numerators i.e. GCF of 686,6922 is 2 .

LCM of Denominators means LCM of 813,895 as per the given fractions.

LCM of 813,895 is 727635 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,6922

GCF of Fractions 686/813,6922/895 is 2/727635

2 686, 6922
343, 3461

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 686,6922 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,6922 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 6922

List of positive integer factors of 6922 that divides 6922 without a remainder.

1,2,3461,6922

Greatest Common Factor

We found the factors 686,6922 . The biggest common factor number is the GCF number.
So the greatest common factor 686,6922 is 2.

Lets's calculate LCM of 813,895

Given numbers has no common factors except 1. So, there LCM is their product i.e 727635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/727635

Therefore, the GCF of Fractions 686/813,6922/895 is 2/727635

Least Common Multiple of 813,895 with GCF Formula

Least Common Multiple of 813,895 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 813,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,895) = 1

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

GCF(813,895) x common factors =1 x 1 = 1

LCM(813,895) = ( 813 × 895 ) / 1

LCM(813,895) = 727635 / 1

LCM(813,895) = 727635


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 686/813, 6922/895

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 686/813, 6922/895?

Answer: GCF of Numerators as per given numbers 686/813, 6922/895 is

GCF of Numerators i.e. for 686,6922 is 2

LCM of denominators i.e. for 813,895 is 727635.

Thus, GCF of Fractions is 2/727635.Finally, GCF of Fractions for 686/813, 6922/895 is 2/727635.