Greatest Common Factor of 243/317, 1749/3079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 243/317, 1749/3079

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 243/317,1749/3079

Given fractions are 243/317,1749/3079

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 243,1749

Greatest Common Factor of Numerators i.e. GCF of 243,1749 is 3 .

LCM of Denominators means LCM of 317,3079 as per the given fractions.

LCM of 317,3079 is 976043 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 243,1749

GCF of Fractions 243/317,1749/3079 is 3/976043

3 243, 1749
81, 583

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

Greatest Common Factor of 243,1749 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,1749 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 1749

List of positive integer factors of 1749 that divides 1749 without a remainder.

1,3,11,33,53,159,583,1749

Greatest Common Factor

We found the factors 243,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 243,1749 is 3.

Lets's calculate LCM of 317,3079

Given numbers has no common factors except 1. So, there LCM is their product i.e 976043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/976043

Therefore, the GCF of Fractions 243/317,1749/3079 is 3/976043

Least Common Multiple of 317,3079 with GCF Formula

Least Common Multiple of 317,3079 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 317,3079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,3079) = 1

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

GCF(317,3079) x common factors =1 x 1 = 1

LCM(317,3079) = ( 317 × 3079 ) / 1

LCM(317,3079) = 976043 / 1

LCM(317,3079) = 976043


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 243/317, 1749/3079

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 243/317, 1749/3079?

Answer: GCF of Numerators as per given numbers 243/317, 1749/3079 is

GCF of Numerators i.e. for 243,1749 is 3

LCM of denominators i.e. for 317,3079 is 976043.

Thus, GCF of Fractions is 3/976043.Finally, GCF of Fractions for 243/317, 1749/3079 is 3/976043.