Greatest Common Factor of 6807/75, 6885/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6807/75, 6885/624

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 6807/75,6885/624

Given fractions are 6807/75,6885/624

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 6807,6885

Greatest Common Factor of Numerators i.e. GCF of 6807,6885 is 3 .

LCM of Denominators means LCM of 75,624 as per the given fractions.

LCM of 75,624 is 15600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6807,6885

GCF of Fractions 6807/75,6885/624 is 3/15600

3 6807, 6885
2269, 2295

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

Greatest Common Factor of 6807,6885 By Matching Biggest Common Factor Method

Greatest Common Factor of 6807,6885 By Matching Biggest Common Factor Method

Factors of 6807

List of positive integer factors of 6807 that divides 6807 without a remainder.

1,3,2269,6807

Factors of 6885

List of positive integer factors of 6885 that divides 6885 without a remainder.

1,3,5,9,15,17,27,45,51,81,85,135,153,255,405,459,765,1377,2295,6885

Greatest Common Factor

We found the factors 6807,6885 . The biggest common factor number is the GCF number.
So the greatest common factor 6807,6885 is 3.

Lets's calculate LCM of 75,624

3 75, 624
25, 208

∴ So the LCM of the given numbers is 3 x 25 x 208 = 15600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15600

Therefore, the GCF of Fractions 6807/75,6885/624 is 3/15600

Least Common Multiple of 75,624 with GCF Formula

Least Common Multiple of 75,624 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 75,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,624) = 3

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

GCF(75,624) x common factors =3 x 1 = 3

LCM(75,624) = ( 75 × 624 ) / 3

LCM(75,624) = 46800 / 3

LCM(75,624) = 15600


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 6807/75, 6885/624

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 6807/75, 6885/624?

Answer: GCF of Numerators as per given numbers 6807/75, 6885/624 is

GCF of Numerators i.e. for 6807,6885 is 3

LCM of denominators i.e. for 75,624 is 15600.

Thus, GCF of Fractions is 3/15600.Finally, GCF of Fractions for 6807/75, 6885/624 is 3/15600.