Greatest Common Factor of 8721/426, 4827/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8721/426, 4827/392

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 8721/426,4827/392

Given fractions are 8721/426,4827/392

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 8721,4827

Greatest Common Factor of Numerators i.e. GCF of 8721,4827 is 3 .

LCM of Denominators means LCM of 426,392 as per the given fractions.

LCM of 426,392 is 83496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8721,4827

GCF of Fractions 8721/426,4827/392 is 3/83496

3 8721, 4827
2907, 1609

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

Greatest Common Factor of 8721,4827 By Matching Biggest Common Factor Method

Greatest Common Factor of 8721,4827 By Matching Biggest Common Factor Method

Factors of 8721

List of positive integer factors of 8721 that divides 8721 without a remainder.

1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721

Factors of 4827

List of positive integer factors of 4827 that divides 4827 without a remainder.

1,3,1609,4827

Greatest Common Factor

We found the factors 8721,4827 . The biggest common factor number is the GCF number.
So the greatest common factor 8721,4827 is 3.

Lets's calculate LCM of 426,392

2 426, 392
213, 196

∴ So the LCM of the given numbers is 2 x 213 x 196 = 83496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83496

Therefore, the GCF of Fractions 8721/426,4827/392 is 3/83496

Least Common Multiple of 426,392 with GCF Formula

Least Common Multiple of 426,392 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 426,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,392) = 2

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

GCF(426,392) x common factors =2 x 1 = 2

LCM(426,392) = ( 426 × 392 ) / 2

LCM(426,392) = 166992 / 2

LCM(426,392) = 83496


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 8721/426, 4827/392

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 8721/426, 4827/392?

Answer: GCF of Numerators as per given numbers 8721/426, 4827/392 is

GCF of Numerators i.e. for 8721,4827 is 3

LCM of denominators i.e. for 426,392 is 83496.

Thus, GCF of Fractions is 3/83496.Finally, GCF of Fractions for 8721/426, 4827/392 is 3/83496.