Greatest Common Factor of 8043/828, 2301/5373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8043/828, 2301/5373

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 8043/828,2301/5373

Given fractions are 8043/828,2301/5373

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 8043,2301

Greatest Common Factor of Numerators i.e. GCF of 8043,2301 is 3 .

LCM of Denominators means LCM of 828,5373 as per the given fractions.

LCM of 828,5373 is 494316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8043,2301

GCF of Fractions 8043/828,2301/5373 is 3/494316

3 8043, 2301
2681, 767

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

Greatest Common Factor of 8043,2301 By Matching Biggest Common Factor Method

Greatest Common Factor of 8043,2301 By Matching Biggest Common Factor Method

Factors of 8043

List of positive integer factors of 8043 that divides 8043 without a remainder.

1,3,7,21,383,1149,2681,8043

Factors of 2301

List of positive integer factors of 2301 that divides 2301 without a remainder.

1,3,13,39,59,177,767,2301

Greatest Common Factor

We found the factors 8043,2301 . The biggest common factor number is the GCF number.
So the greatest common factor 8043,2301 is 3.

Lets's calculate LCM of 828,5373

3 828, 5373
3 276, 1791
92, 597

∴ So the LCM of the given numbers is 3 x 3 x 92 x 597 = 494316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/494316

Therefore, the GCF of Fractions 8043/828,2301/5373 is 3/494316

Least Common Multiple of 828,5373 with GCF Formula

Least Common Multiple of 828,5373 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 828,5373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,5373) = 9

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

GCF(828,5373) x common factors =9 x 1 = 9

LCM(828,5373) = ( 828 × 5373 ) / 9

LCM(828,5373) = 4448844 / 9

LCM(828,5373) = 494316


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 8043/828, 2301/5373

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 8043/828, 2301/5373?

Answer: GCF of Numerators as per given numbers 8043/828, 2301/5373 is

GCF of Numerators i.e. for 8043,2301 is 3

LCM of denominators i.e. for 828,5373 is 494316.

Thus, GCF of Fractions is 3/494316.Finally, GCF of Fractions for 8043/828, 2301/5373 is 3/494316.