Greatest Common Factor of 8134/769, 7080/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8134/769, 7080/311

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 8134/769,7080/311

Given fractions are 8134/769,7080/311

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 8134,7080

Greatest Common Factor of Numerators i.e. GCF of 8134,7080 is 2 .

LCM of Denominators means LCM of 769,311 as per the given fractions.

LCM of 769,311 is 239159 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8134,7080

GCF of Fractions 8134/769,7080/311 is 2/239159

2 8134, 7080
4067, 3540

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

Greatest Common Factor of 8134,7080 By Matching Biggest Common Factor Method

Greatest Common Factor of 8134,7080 By Matching Biggest Common Factor Method

Factors of 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1,2,7,14,49,83,98,166,581,1162,4067,8134

Factors of 7080

List of positive integer factors of 7080 that divides 7080 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,59,60,118,120,177,236,295,354,472,590,708,885,1180,1416,1770,2360,3540,7080

Greatest Common Factor

We found the factors 8134,7080 . The biggest common factor number is the GCF number.
So the greatest common factor 8134,7080 is 2.

Lets's calculate LCM of 769,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 239159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/239159

Therefore, the GCF of Fractions 8134/769,7080/311 is 2/239159

Least Common Multiple of 769,311 with GCF Formula

Least Common Multiple of 769,311 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 769,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,311) = 1

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

GCF(769,311) x common factors =1 x 1 = 1

LCM(769,311) = ( 769 × 311 ) / 1

LCM(769,311) = 239159 / 1

LCM(769,311) = 239159


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 8134/769, 7080/311

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 8134/769, 7080/311?

Answer: GCF of Numerators as per given numbers 8134/769, 7080/311 is

GCF of Numerators i.e. for 8134,7080 is 2

LCM of denominators i.e. for 769,311 is 239159.

Thus, GCF of Fractions is 2/239159.Finally, GCF of Fractions for 8134/769, 7080/311 is 2/239159.