Greatest Common Factor of 5754/863, 2163/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5754/863, 2163/205

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 5754/863,2163/205

Given fractions are 5754/863,2163/205

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 5754,2163

Greatest Common Factor of Numerators i.e. GCF of 5754,2163 is 21 .

LCM of Denominators means LCM of 863,205 as per the given fractions.

LCM of 863,205 is 176915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5754,2163

GCF of Fractions 5754/863,2163/205 is 21/176915

3 5754, 2163
7 1918, 721
274, 103

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 5754,2163 By Matching Biggest Common Factor Method

Greatest Common Factor of 5754,2163 By Matching Biggest Common Factor Method

Factors of 5754

List of positive integer factors of 5754 that divides 5754 without a remainder.

1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754

Factors of 2163

List of positive integer factors of 2163 that divides 2163 without a remainder.

1,3,7,21,103,309,721,2163

Greatest Common Factor

We found the factors 5754,2163 . The biggest common factor number is the GCF number.
So the greatest common factor 5754,2163 is 21.

Lets's calculate LCM of 863,205

Given numbers has no common factors except 1. So, there LCM is their product i.e 176915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/176915

Therefore, the GCF of Fractions 5754/863,2163/205 is 21/176915

Least Common Multiple of 863,205 with GCF Formula

Least Common Multiple of 863,205 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 863,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,205) = 1

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

GCF(863,205) x common factors =1 x 1 = 1

LCM(863,205) = ( 863 × 205 ) / 1

LCM(863,205) = 176915 / 1

LCM(863,205) = 176915


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 5754/863, 2163/205

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 5754/863, 2163/205?

Answer: GCF of Numerators as per given numbers 5754/863, 2163/205 is

GCF of Numerators i.e. for 5754,2163 is 21

LCM of denominators i.e. for 863,205 is 176915.

Thus, GCF of Fractions is 21/176915.Finally, GCF of Fractions for 5754/863, 2163/205 is 21/176915.