Greatest Common Factor of 6759/99, 2550/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6759/99, 2550/690

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 6759/99,2550/690

Given fractions are 6759/99,2550/690

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 6759,2550

Greatest Common Factor of Numerators i.e. GCF of 6759,2550 is 3 .

LCM of Denominators means LCM of 99,690 as per the given fractions.

LCM of 99,690 is 22770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6759,2550

GCF of Fractions 6759/99,2550/690 is 3/22770

3 6759, 2550
2253, 850

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

Greatest Common Factor of 6759,2550 By Matching Biggest Common Factor Method

Greatest Common Factor of 6759,2550 By Matching Biggest Common Factor Method

Factors of 6759

List of positive integer factors of 6759 that divides 6759 without a remainder.

1,3,9,751,2253,6759

Factors of 2550

List of positive integer factors of 2550 that divides 2550 without a remainder.

1,2,3,5,6,10,15,17,25,30,34,50,51,75,85,102,150,170,255,425,510,850,1275,2550

Greatest Common Factor

We found the factors 6759,2550 . The biggest common factor number is the GCF number.
So the greatest common factor 6759,2550 is 3.

Lets's calculate LCM of 99,690

3 99, 690
33, 230

∴ So the LCM of the given numbers is 3 x 33 x 230 = 22770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22770

Therefore, the GCF of Fractions 6759/99,2550/690 is 3/22770

Least Common Multiple of 99,690 with GCF Formula

Least Common Multiple of 99,690 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 99,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,690) = 3

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

GCF(99,690) x common factors =3 x 1 = 3

LCM(99,690) = ( 99 × 690 ) / 3

LCM(99,690) = 68310 / 3

LCM(99,690) = 22770


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 6759/99, 2550/690

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 6759/99, 2550/690?

Answer: GCF of Numerators as per given numbers 6759/99, 2550/690 is

GCF of Numerators i.e. for 6759,2550 is 3

LCM of denominators i.e. for 99,690 is 22770.

Thus, GCF of Fractions is 3/22770.Finally, GCF of Fractions for 6759/99, 2550/690 is 3/22770.