Greatest Common Factor of 6908/513, 8130/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6908/513, 8130/653

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 6908/513,8130/653

Given fractions are 6908/513,8130/653

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 6908,8130

Greatest Common Factor of Numerators i.e. GCF of 6908,8130 is 2 .

LCM of Denominators means LCM of 513,653 as per the given fractions.

LCM of 513,653 is 334989 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6908,8130

GCF of Fractions 6908/513,8130/653 is 2/334989

2 6908, 8130
3454, 4065

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

Greatest Common Factor of 6908,8130 By Matching Biggest Common Factor Method

Greatest Common Factor of 6908,8130 By Matching Biggest Common Factor Method

Factors of 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1,2,4,11,22,44,157,314,628,1727,3454,6908

Factors of 8130

List of positive integer factors of 8130 that divides 8130 without a remainder.

1,2,3,5,6,10,15,30,271,542,813,1355,1626,2710,4065,8130

Greatest Common Factor

We found the factors 6908,8130 . The biggest common factor number is the GCF number.
So the greatest common factor 6908,8130 is 2.

Lets's calculate LCM of 513,653

Given numbers has no common factors except 1. So, there LCM is their product i.e 334989

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/334989

Therefore, the GCF of Fractions 6908/513,8130/653 is 2/334989

Least Common Multiple of 513,653 with GCF Formula

Least Common Multiple of 513,653 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 513,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,653) = 1

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

GCF(513,653) x common factors =1 x 1 = 1

LCM(513,653) = ( 513 × 653 ) / 1

LCM(513,653) = 334989 / 1

LCM(513,653) = 334989


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 6908/513, 8130/653

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 6908/513, 8130/653?

Answer: GCF of Numerators as per given numbers 6908/513, 8130/653 is

GCF of Numerators i.e. for 6908,8130 is 2

LCM of denominators i.e. for 513,653 is 334989.

Thus, GCF of Fractions is 2/334989.Finally, GCF of Fractions for 6908/513, 8130/653 is 2/334989.