Greatest Common Factor of 675/6630, 516/5799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/6630, 516/5799

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 675/6630,516/5799

Given fractions are 675/6630,516/5799

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 675,516

Greatest Common Factor of Numerators i.e. GCF of 675,516 is 3 .

LCM of Denominators means LCM of 6630,5799 as per the given fractions.

LCM of 6630,5799 is 12815790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,516

GCF of Fractions 675/6630,516/5799 is 3/12815790

3 675, 516
225, 172

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

Greatest Common Factor of 675,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,516 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 675,516 . The biggest common factor number is the GCF number.
So the greatest common factor 675,516 is 3.

Lets's calculate LCM of 6630,5799

3 6630, 5799
2210, 1933

∴ So the LCM of the given numbers is 3 x 2210 x 1933 = 12815790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12815790

Therefore, the GCF of Fractions 675/6630,516/5799 is 3/12815790

Least Common Multiple of 6630,5799 with GCF Formula

Least Common Multiple of 6630,5799 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 6630,5799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6630,5799) = 3

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

GCF(6630,5799) x common factors =3 x 1 = 3

LCM(6630,5799) = ( 6630 × 5799 ) / 3

LCM(6630,5799) = 38447370 / 3

LCM(6630,5799) = 12815790


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 675/6630, 516/5799

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 675/6630, 516/5799?

Answer: GCF of Numerators as per given numbers 675/6630, 516/5799 is

GCF of Numerators i.e. for 675,516 is 3

LCM of denominators i.e. for 6630,5799 is 12815790.

Thus, GCF of Fractions is 3/12815790.Finally, GCF of Fractions for 675/6630, 516/5799 is 3/12815790.