Greatest Common Factor of 6968/988, 6836/8657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6968/988, 6836/8657

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 6968/988,6836/8657

Given fractions are 6968/988,6836/8657

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 6968,6836

Greatest Common Factor of Numerators i.e. GCF of 6968,6836 is 4 .

LCM of Denominators means LCM of 988,8657 as per the given fractions.

LCM of 988,8657 is 8553116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6968,6836

GCF of Fractions 6968/988,6836/8657 is 4/8553116

2 6968, 6836
2 3484, 3418
1742, 1709

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6968,6836 By Matching Biggest Common Factor Method

Greatest Common Factor of 6968,6836 By Matching Biggest Common Factor Method

Factors of 6968

List of positive integer factors of 6968 that divides 6968 without a remainder.

1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968

Factors of 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1,2,4,1709,3418,6836

Greatest Common Factor

We found the factors 6968,6836 . The biggest common factor number is the GCF number.
So the greatest common factor 6968,6836 is 4.

Lets's calculate LCM of 988,8657

Given numbers has no common factors except 1. So, there LCM is their product i.e 8553116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8553116

Therefore, the GCF of Fractions 6968/988,6836/8657 is 4/8553116

Least Common Multiple of 988,8657 with GCF Formula

Least Common Multiple of 988,8657 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 988,8657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,8657) = 1

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

GCF(988,8657) x common factors =1 x 1 = 1

LCM(988,8657) = ( 988 × 8657 ) / 1

LCM(988,8657) = 8553116 / 1

LCM(988,8657) = 8553116


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 6968/988, 6836/8657

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 6968/988, 6836/8657?

Answer: GCF of Numerators as per given numbers 6968/988, 6836/8657 is

GCF of Numerators i.e. for 6968,6836 is 4

LCM of denominators i.e. for 988,8657 is 8553116.

Thus, GCF of Fractions is 4/8553116.Finally, GCF of Fractions for 6968/988, 6836/8657 is 4/8553116.