Greatest Common Factor of 4120/97, 6688/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4120/97, 6688/868

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 4120/97,6688/868

Given fractions are 4120/97,6688/868

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 4120,6688

Greatest Common Factor of Numerators i.e. GCF of 4120,6688 is 8 .

LCM of Denominators means LCM of 97,868 as per the given fractions.

LCM of 97,868 is 84196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4120,6688

GCF of Fractions 4120/97,6688/868 is 8/84196

2 4120, 6688
2 2060, 3344
2 1030, 1672
515, 836

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4120,6688 By Matching Biggest Common Factor Method

Greatest Common Factor of 4120,6688 By Matching Biggest Common Factor Method

Factors of 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Factors of 6688

List of positive integer factors of 6688 that divides 6688 without a remainder.

1,2,4,8,11,16,19,22,32,38,44,76,88,152,176,209,304,352,418,608,836,1672,3344,6688

Greatest Common Factor

We found the factors 4120,6688 . The biggest common factor number is the GCF number.
So the greatest common factor 4120,6688 is 8.

Lets's calculate LCM of 97,868

Given numbers has no common factors except 1. So, there LCM is their product i.e 84196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/84196

Therefore, the GCF of Fractions 4120/97,6688/868 is 8/84196

Least Common Multiple of 97,868 with GCF Formula

Least Common Multiple of 97,868 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 97,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,868) = 1

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

GCF(97,868) x common factors =1 x 1 = 1

LCM(97,868) = ( 97 × 868 ) / 1

LCM(97,868) = 84196 / 1

LCM(97,868) = 84196


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 4120/97, 6688/868

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 4120/97, 6688/868?

Answer: GCF of Numerators as per given numbers 4120/97, 6688/868 is

GCF of Numerators i.e. for 4120,6688 is 8

LCM of denominators i.e. for 97,868 is 84196.

Thus, GCF of Fractions is 8/84196.Finally, GCF of Fractions for 4120/97, 6688/868 is 8/84196.