Greatest Common Factor of 7113/306, 8136/8314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7113/306, 8136/8314

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 7113/306,8136/8314

Given fractions are 7113/306,8136/8314

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 7113,8136

Greatest Common Factor of Numerators i.e. GCF of 7113,8136 is 3 .

LCM of Denominators means LCM of 306,8314 as per the given fractions.

LCM of 306,8314 is 1272042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7113,8136

GCF of Fractions 7113/306,8136/8314 is 3/1272042

3 7113, 8136
2371, 2712

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

Greatest Common Factor of 7113,8136 By Matching Biggest Common Factor Method

Greatest Common Factor of 7113,8136 By Matching Biggest Common Factor Method

Factors of 7113

List of positive integer factors of 7113 that divides 7113 without a remainder.

1,3,2371,7113

Factors of 8136

List of positive integer factors of 8136 that divides 8136 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136

Greatest Common Factor

We found the factors 7113,8136 . The biggest common factor number is the GCF number.
So the greatest common factor 7113,8136 is 3.

Lets's calculate LCM of 306,8314

2 306, 8314
153, 4157

∴ So the LCM of the given numbers is 2 x 153 x 4157 = 1272042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1272042

Therefore, the GCF of Fractions 7113/306,8136/8314 is 3/1272042

Least Common Multiple of 306,8314 with GCF Formula

Least Common Multiple of 306,8314 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 306,8314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,8314) = 2

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

GCF(306,8314) x common factors =2 x 1 = 2

LCM(306,8314) = ( 306 × 8314 ) / 2

LCM(306,8314) = 2544084 / 2

LCM(306,8314) = 1272042


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 7113/306, 8136/8314

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 7113/306, 8136/8314?

Answer: GCF of Numerators as per given numbers 7113/306, 8136/8314 is

GCF of Numerators i.e. for 7113,8136 is 3

LCM of denominators i.e. for 306,8314 is 1272042.

Thus, GCF of Fractions is 3/1272042.Finally, GCF of Fractions for 7113/306, 8136/8314 is 3/1272042.