Greatest Common Factor of 247/23, 1197/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 247/23, 1197/459

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 247/23,1197/459

Given fractions are 247/23,1197/459

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 247,1197

Greatest Common Factor of Numerators i.e. GCF of 247,1197 is 19 .

LCM of Denominators means LCM of 23,459 as per the given fractions.

LCM of 23,459 is 10557 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 247,1197

GCF of Fractions 247/23,1197/459 is 19/10557

19 247, 1197
13, 63

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 247,1197 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,1197 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 1197

List of positive integer factors of 1197 that divides 1197 without a remainder.

1,3,7,9,19,21,57,63,133,171,399,1197

Greatest Common Factor

We found the factors 247,1197 . The biggest common factor number is the GCF number.
So the greatest common factor 247,1197 is 19.

Lets's calculate LCM of 23,459

Given numbers has no common factors except 1. So, there LCM is their product i.e 10557

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/10557

Therefore, the GCF of Fractions 247/23,1197/459 is 19/10557

Least Common Multiple of 23,459 with GCF Formula

Least Common Multiple of 23,459 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 23,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,459) = 1

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

GCF(23,459) x common factors =1 x 1 = 1

LCM(23,459) = ( 23 × 459 ) / 1

LCM(23,459) = 10557 / 1

LCM(23,459) = 10557


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 247/23, 1197/459

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 247/23, 1197/459?

Answer: GCF of Numerators as per given numbers 247/23, 1197/459 is

GCF of Numerators i.e. for 247,1197 is 19

LCM of denominators i.e. for 23,459 is 10557.

Thus, GCF of Fractions is 19/10557.Finally, GCF of Fractions for 247/23, 1197/459 is 19/10557.