Greatest Common Factor of 6758/616, 9526/3165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6758/616, 9526/3165

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 6758/616,9526/3165

Given fractions are 6758/616,9526/3165

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 6758,9526

Greatest Common Factor of Numerators i.e. GCF of 6758,9526 is 2 .

LCM of Denominators means LCM of 616,3165 as per the given fractions.

LCM of 616,3165 is 1949640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6758,9526

GCF of Fractions 6758/616,9526/3165 is 2/1949640

2 6758, 9526
3379, 4763

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

Greatest Common Factor of 6758,9526 By Matching Biggest Common Factor Method

Greatest Common Factor of 6758,9526 By Matching Biggest Common Factor Method

Factors of 6758

List of positive integer factors of 6758 that divides 6758 without a remainder.

1,2,31,62,109,218,3379,6758

Factors of 9526

List of positive integer factors of 9526 that divides 9526 without a remainder.

1,2,11,22,433,866,4763,9526

Greatest Common Factor

We found the factors 6758,9526 . The biggest common factor number is the GCF number.
So the greatest common factor 6758,9526 is 2.

Lets's calculate LCM of 616,3165

Given numbers has no common factors except 1. So, there LCM is their product i.e 1949640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1949640

Therefore, the GCF of Fractions 6758/616,9526/3165 is 2/1949640

Least Common Multiple of 616,3165 with GCF Formula

Least Common Multiple of 616,3165 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 616,3165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,3165) = 1

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

GCF(616,3165) x common factors =1 x 1 = 1

LCM(616,3165) = ( 616 × 3165 ) / 1

LCM(616,3165) = 1949640 / 1

LCM(616,3165) = 1949640


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 6758/616, 9526/3165

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 6758/616, 9526/3165?

Answer: GCF of Numerators as per given numbers 6758/616, 9526/3165 is

GCF of Numerators i.e. for 6758,9526 is 2

LCM of denominators i.e. for 616,3165 is 1949640.

Thus, GCF of Fractions is 2/1949640.Finally, GCF of Fractions for 6758/616, 9526/3165 is 2/1949640.