Greatest Common Factor of 8362/268, 3166/1196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8362/268, 3166/1196

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 8362/268,3166/1196

Given fractions are 8362/268,3166/1196

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 8362,3166

Greatest Common Factor of Numerators i.e. GCF of 8362,3166 is 2 .

LCM of Denominators means LCM of 268,1196 as per the given fractions.

LCM of 268,1196 is 80132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8362,3166

GCF of Fractions 8362/268,3166/1196 is 2/80132

2 8362, 3166
4181, 1583

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

Greatest Common Factor of 8362,3166 By Matching Biggest Common Factor Method

Greatest Common Factor of 8362,3166 By Matching Biggest Common Factor Method

Factors of 8362

List of positive integer factors of 8362 that divides 8362 without a remainder.

1,2,37,74,113,226,4181,8362

Factors of 3166

List of positive integer factors of 3166 that divides 3166 without a remainder.

1,2,1583,3166

Greatest Common Factor

We found the factors 8362,3166 . The biggest common factor number is the GCF number.
So the greatest common factor 8362,3166 is 2.

Lets's calculate LCM of 268,1196

2 268, 1196
2 134, 598
67, 299

∴ So the LCM of the given numbers is 2 x 2 x 67 x 299 = 80132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/80132

Therefore, the GCF of Fractions 8362/268,3166/1196 is 2/80132

Least Common Multiple of 268,1196 with GCF Formula

Least Common Multiple of 268,1196 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 268,1196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,1196) = 4

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

GCF(268,1196) x common factors =4 x 1 = 4

LCM(268,1196) = ( 268 × 1196 ) / 4

LCM(268,1196) = 320528 / 4

LCM(268,1196) = 80132


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 8362/268, 3166/1196

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 8362/268, 3166/1196?

Answer: GCF of Numerators as per given numbers 8362/268, 3166/1196 is

GCF of Numerators i.e. for 8362,3166 is 2

LCM of denominators i.e. for 268,1196 is 80132.

Thus, GCF of Fractions is 2/80132.Finally, GCF of Fractions for 8362/268, 3166/1196 is 2/80132.