Greatest Common Factor of 6116/65, 7130/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6116/65, 7130/746

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 6116/65,7130/746

Given fractions are 6116/65,7130/746

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 6116,7130

Greatest Common Factor of Numerators i.e. GCF of 6116,7130 is 2 .

LCM of Denominators means LCM of 65,746 as per the given fractions.

LCM of 65,746 is 48490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6116,7130

GCF of Fractions 6116/65,7130/746 is 2/48490

2 6116, 7130
3058, 3565

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

Greatest Common Factor of 6116,7130 By Matching Biggest Common Factor Method

Greatest Common Factor of 6116,7130 By Matching Biggest Common Factor Method

Factors of 6116

List of positive integer factors of 6116 that divides 6116 without a remainder.

1,2,4,11,22,44,139,278,556,1529,3058,6116

Factors of 7130

List of positive integer factors of 7130 that divides 7130 without a remainder.

1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130

Greatest Common Factor

We found the factors 6116,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 6116,7130 is 2.

Lets's calculate LCM of 65,746

Given numbers has no common factors except 1. So, there LCM is their product i.e 48490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48490

Therefore, the GCF of Fractions 6116/65,7130/746 is 2/48490

Least Common Multiple of 65,746 with GCF Formula

Least Common Multiple of 65,746 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 65,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,746) = 1

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

GCF(65,746) x common factors =1 x 1 = 1

LCM(65,746) = ( 65 × 746 ) / 1

LCM(65,746) = 48490 / 1

LCM(65,746) = 48490


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 6116/65, 7130/746

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 6116/65, 7130/746?

Answer: GCF of Numerators as per given numbers 6116/65, 7130/746 is

GCF of Numerators i.e. for 6116,7130 is 2

LCM of denominators i.e. for 65,746 is 48490.

Thus, GCF of Fractions is 2/48490.Finally, GCF of Fractions for 6116/65, 7130/746 is 2/48490.