Greatest Common Factor of 868/866, 8652/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 868/866, 8652/689

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 868/866,8652/689

Given fractions are 868/866,8652/689

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 868,8652

Greatest Common Factor of Numerators i.e. GCF of 868,8652 is 28 .

LCM of Denominators means LCM of 866,689 as per the given fractions.

LCM of 866,689 is 596674 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 868,8652

GCF of Fractions 868/866,8652/689 is 28/596674

2 868, 8652
2 434, 4326
7 217, 2163
31, 309

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 868,8652 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,8652 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 8652

List of positive integer factors of 8652 that divides 8652 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652

Greatest Common Factor

We found the factors 868,8652 . The biggest common factor number is the GCF number.
So the greatest common factor 868,8652 is 28.

Lets's calculate LCM of 866,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 596674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/596674

Therefore, the GCF of Fractions 868/866,8652/689 is 28/596674

Least Common Multiple of 866,689 with GCF Formula

Least Common Multiple of 866,689 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 866,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,689) = 1

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

GCF(866,689) x common factors =1 x 1 = 1

LCM(866,689) = ( 866 × 689 ) / 1

LCM(866,689) = 596674 / 1

LCM(866,689) = 596674


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 868/866, 8652/689

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 868/866, 8652/689?

Answer: GCF of Numerators as per given numbers 868/866, 8652/689 is

GCF of Numerators i.e. for 868,8652 is 28

LCM of denominators i.e. for 866,689 is 596674.

Thus, GCF of Fractions is 28/596674.Finally, GCF of Fractions for 868/866, 8652/689 is 28/596674.