Greatest Common Factor of 3102/78, 8073/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3102/78, 8073/340

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 3102/78,8073/340

Given fractions are 3102/78,8073/340

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 3102,8073

Greatest Common Factor of Numerators i.e. GCF of 3102,8073 is 3 .

LCM of Denominators means LCM of 78,340 as per the given fractions.

LCM of 78,340 is 13260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3102,8073

GCF of Fractions 3102/78,8073/340 is 3/13260

3 3102, 8073
1034, 2691

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3102,8073 By Matching Biggest Common Factor Method

Greatest Common Factor of 3102,8073 By Matching Biggest Common Factor Method

Factors of 3102

List of positive integer factors of 3102 that divides 3102 without a remainder.

1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102

Factors of 8073

List of positive integer factors of 8073 that divides 8073 without a remainder.

1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073

Greatest Common Factor

We found the factors 3102,8073 . The biggest common factor number is the GCF number.
So the greatest common factor 3102,8073 is 3.

Lets's calculate LCM of 78,340

2 78, 340
39, 170

∴ So the LCM of the given numbers is 2 x 39 x 170 = 13260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13260

Therefore, the GCF of Fractions 3102/78,8073/340 is 3/13260

Least Common Multiple of 78,340 with GCF Formula

Least Common Multiple of 78,340 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 78,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,340) = 2

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

GCF(78,340) x common factors =2 x 1 = 2

LCM(78,340) = ( 78 × 340 ) / 2

LCM(78,340) = 26520 / 2

LCM(78,340) = 13260


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 3102/78, 8073/340

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 3102/78, 8073/340?

Answer: GCF of Numerators as per given numbers 3102/78, 8073/340 is

GCF of Numerators i.e. for 3102,8073 is 3

LCM of denominators i.e. for 78,340 is 13260.

Thus, GCF of Fractions is 3/13260.Finally, GCF of Fractions for 3102/78, 8073/340 is 3/13260.