Greatest Common Factor of 8145/772, 6804/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8145/772, 6804/615

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 8145/772,6804/615

Given fractions are 8145/772,6804/615

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 8145,6804

Greatest Common Factor of Numerators i.e. GCF of 8145,6804 is 9 .

LCM of Denominators means LCM of 772,615 as per the given fractions.

LCM of 772,615 is 474780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8145,6804

GCF of Fractions 8145/772,6804/615 is 9/474780

3 8145, 6804
3 2715, 2268
905, 756

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 8145,6804 By Matching Biggest Common Factor Method

Greatest Common Factor of 8145,6804 By Matching Biggest Common Factor Method

Factors of 8145

List of positive integer factors of 8145 that divides 8145 without a remainder.

1,3,5,9,15,45,181,543,905,1629,2715,8145

Factors of 6804

List of positive integer factors of 6804 that divides 6804 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804

Greatest Common Factor

We found the factors 8145,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 8145,6804 is 9.

Lets's calculate LCM of 772,615

Given numbers has no common factors except 1. So, there LCM is their product i.e 474780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/474780

Therefore, the GCF of Fractions 8145/772,6804/615 is 9/474780

Least Common Multiple of 772,615 with GCF Formula

Least Common Multiple of 772,615 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 772,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,615) = 1

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

GCF(772,615) x common factors =1 x 1 = 1

LCM(772,615) = ( 772 × 615 ) / 1

LCM(772,615) = 474780 / 1

LCM(772,615) = 474780


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 8145/772, 6804/615

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 8145/772, 6804/615?

Answer: GCF of Numerators as per given numbers 8145/772, 6804/615 is

GCF of Numerators i.e. for 8145,6804 is 9

LCM of denominators i.e. for 772,615 is 474780.

Thus, GCF of Fractions is 9/474780.Finally, GCF of Fractions for 8145/772, 6804/615 is 9/474780.