Greatest Common Factor of 5891/893, 4960/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5891/893, 4960/243

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 5891/893,4960/243

Given fractions are 5891/893,4960/243

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 5891,4960

Greatest Common Factor of Numerators i.e. GCF of 5891,4960 is 1 .

LCM of Denominators means LCM of 893,243 as per the given fractions.

LCM of 893,243 is 216999 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5891,4960

GCF of Fractions 5891/893,4960/243 is 1/216999

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

Greatest Common Factor of 5891,4960 By Matching Biggest Common Factor Method

Greatest Common Factor of 5891,4960 By Matching Biggest Common Factor Method

Factors of 5891

List of positive integer factors of 5891 that divides 5891 without a remainder.

1,43,137,5891

Factors of 4960

List of positive integer factors of 4960 that divides 4960 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960

Greatest Common Factor

We found the factors 5891,4960 . The biggest common factor number is the GCF number.
So the greatest common factor 5891,4960 is 1.

Lets's calculate LCM of 893,243

Given numbers has no common factors except 1. So, there LCM is their product i.e 216999

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216999

Therefore, the GCF of Fractions 5891/893,4960/243 is 1/216999

Least Common Multiple of 893,243 with GCF Formula

Least Common Multiple of 893,243 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 893,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,243) = 1

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

GCF(893,243) x common factors =1 x 1 = 1

LCM(893,243) = ( 893 × 243 ) / 1

LCM(893,243) = 216999 / 1

LCM(893,243) = 216999


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 5891/893, 4960/243

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 5891/893, 4960/243?

Answer: GCF of Numerators as per given numbers 5891/893, 4960/243 is

GCF of Numerators i.e. for 5891,4960 is 1

LCM of denominators i.e. for 893,243 is 216999.

Thus, GCF of Fractions is 1/216999.Finally, GCF of Fractions for 5891/893, 4960/243 is 1/216999.