Greatest Common Factor of 8511/76, 6852/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8511/76, 6852/743

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 8511/76,6852/743

Given fractions are 8511/76,6852/743

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 8511,6852

Greatest Common Factor of Numerators i.e. GCF of 8511,6852 is 3 .

LCM of Denominators means LCM of 76,743 as per the given fractions.

LCM of 76,743 is 56468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8511,6852

GCF of Fractions 8511/76,6852/743 is 3/56468

3 8511, 6852
2837, 2284

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

Greatest Common Factor of 8511,6852 By Matching Biggest Common Factor Method

Greatest Common Factor of 8511,6852 By Matching Biggest Common Factor Method

Factors of 8511

List of positive integer factors of 8511 that divides 8511 without a remainder.

1,3,2837,8511

Factors of 6852

List of positive integer factors of 6852 that divides 6852 without a remainder.

1,2,3,4,6,12,571,1142,1713,2284,3426,6852

Greatest Common Factor

We found the factors 8511,6852 . The biggest common factor number is the GCF number.
So the greatest common factor 8511,6852 is 3.

Lets's calculate LCM of 76,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 56468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/56468

Therefore, the GCF of Fractions 8511/76,6852/743 is 3/56468

Least Common Multiple of 76,743 with GCF Formula

Least Common Multiple of 76,743 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 76,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,743) = 1

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

GCF(76,743) x common factors =1 x 1 = 1

LCM(76,743) = ( 76 × 743 ) / 1

LCM(76,743) = 56468 / 1

LCM(76,743) = 56468


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 8511/76, 6852/743

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 8511/76, 6852/743?

Answer: GCF of Numerators as per given numbers 8511/76, 6852/743 is

GCF of Numerators i.e. for 8511,6852 is 3

LCM of denominators i.e. for 76,743 is 56468.

Thus, GCF of Fractions is 3/56468.Finally, GCF of Fractions for 8511/76, 6852/743 is 3/56468.