Greatest Common Factor of 5097/60, 4785/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5097/60, 4785/243

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 5097/60,4785/243

Given fractions are 5097/60,4785/243

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 5097,4785

Greatest Common Factor of Numerators i.e. GCF of 5097,4785 is 3 .

LCM of Denominators means LCM of 60,243 as per the given fractions.

LCM of 60,243 is 4860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5097,4785

GCF of Fractions 5097/60,4785/243 is 3/4860

3 5097, 4785
1699, 1595

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

Greatest Common Factor of 5097,4785 By Matching Biggest Common Factor Method

Greatest Common Factor of 5097,4785 By Matching Biggest Common Factor Method

Factors of 5097

List of positive integer factors of 5097 that divides 5097 without a remainder.

1,3,1699,5097

Factors of 4785

List of positive integer factors of 4785 that divides 4785 without a remainder.

1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785

Greatest Common Factor

We found the factors 5097,4785 . The biggest common factor number is the GCF number.
So the greatest common factor 5097,4785 is 3.

Lets's calculate LCM of 60,243

3 60, 243
20, 81

∴ So the LCM of the given numbers is 3 x 20 x 81 = 4860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4860

Therefore, the GCF of Fractions 5097/60,4785/243 is 3/4860

Least Common Multiple of 60,243 with GCF Formula

Least Common Multiple of 60,243 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 60,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,243) = 3

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

GCF(60,243) x common factors =3 x 1 = 3

LCM(60,243) = ( 60 × 243 ) / 3

LCM(60,243) = 14580 / 3

LCM(60,243) = 4860


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 5097/60, 4785/243

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 5097/60, 4785/243?

Answer: GCF of Numerators as per given numbers 5097/60, 4785/243 is

GCF of Numerators i.e. for 5097,4785 is 3

LCM of denominators i.e. for 60,243 is 4860.

Thus, GCF of Fractions is 3/4860.Finally, GCF of Fractions for 5097/60, 4785/243 is 3/4860.