Greatest Common Factor of 8427/993, 4101/3564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8427/993, 4101/3564

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 8427/993,4101/3564

Given fractions are 8427/993,4101/3564

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 8427,4101

Greatest Common Factor of Numerators i.e. GCF of 8427,4101 is 3 .

LCM of Denominators means LCM of 993,3564 as per the given fractions.

LCM of 993,3564 is 1179684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8427,4101

GCF of Fractions 8427/993,4101/3564 is 3/1179684

3 8427, 4101
2809, 1367

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

Greatest Common Factor of 8427,4101 By Matching Biggest Common Factor Method

Greatest Common Factor of 8427,4101 By Matching Biggest Common Factor Method

Factors of 8427

List of positive integer factors of 8427 that divides 8427 without a remainder.

1,3,53,159,2809,8427

Factors of 4101

List of positive integer factors of 4101 that divides 4101 without a remainder.

1,3,1367,4101

Greatest Common Factor

We found the factors 8427,4101 . The biggest common factor number is the GCF number.
So the greatest common factor 8427,4101 is 3.

Lets's calculate LCM of 993,3564

3 993, 3564
331, 1188

∴ So the LCM of the given numbers is 3 x 331 x 1188 = 1179684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1179684

Therefore, the GCF of Fractions 8427/993,4101/3564 is 3/1179684

Least Common Multiple of 993,3564 with GCF Formula

Least Common Multiple of 993,3564 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 993,3564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,3564) = 3

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

GCF(993,3564) x common factors =3 x 1 = 3

LCM(993,3564) = ( 993 × 3564 ) / 3

LCM(993,3564) = 3539052 / 3

LCM(993,3564) = 1179684


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 8427/993, 4101/3564

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 8427/993, 4101/3564?

Answer: GCF of Numerators as per given numbers 8427/993, 4101/3564 is

GCF of Numerators i.e. for 8427,4101 is 3

LCM of denominators i.e. for 993,3564 is 1179684.

Thus, GCF of Fractions is 3/1179684.Finally, GCF of Fractions for 8427/993, 4101/3564 is 3/1179684.