Greatest Common Factor of 6844/72, 4277/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6844/72, 4277/573

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 6844/72,4277/573

Given fractions are 6844/72,4277/573

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 6844,4277

Greatest Common Factor of Numerators i.e. GCF of 6844,4277 is 1 .

LCM of Denominators means LCM of 72,573 as per the given fractions.

LCM of 72,573 is 13752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6844,4277

GCF of Fractions 6844/72,4277/573 is 1/13752

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6844,4277 By Matching Biggest Common Factor Method

Greatest Common Factor of 6844,4277 By Matching Biggest Common Factor Method

Factors of 6844

List of positive integer factors of 6844 that divides 6844 without a remainder.

1,2,4,29,58,59,116,118,236,1711,3422,6844

Factors of 4277

List of positive integer factors of 4277 that divides 4277 without a remainder.

1,7,13,47,91,329,611,4277

Greatest Common Factor

We found the factors 6844,4277 . The biggest common factor number is the GCF number.
So the greatest common factor 6844,4277 is 1.

Lets's calculate LCM of 72,573

3 72, 573
24, 191

∴ So the LCM of the given numbers is 3 x 24 x 191 = 13752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13752

Therefore, the GCF of Fractions 6844/72,4277/573 is 1/13752

Least Common Multiple of 72,573 with GCF Formula

Least Common Multiple of 72,573 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 72,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,573) = 3

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

GCF(72,573) x common factors =3 x 1 = 3

LCM(72,573) = ( 72 × 573 ) / 3

LCM(72,573) = 41256 / 3

LCM(72,573) = 13752


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 6844/72, 4277/573

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 6844/72, 4277/573?

Answer: GCF of Numerators as per given numbers 6844/72, 4277/573 is

GCF of Numerators i.e. for 6844,4277 is 1

LCM of denominators i.e. for 72,573 is 13752.

Thus, GCF of Fractions is 1/13752.Finally, GCF of Fractions for 6844/72, 4277/573 is 1/13752.