Greatest Common Factor of 1239/254, 8732/9339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1239/254, 8732/9339

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 1239/254,8732/9339

Given fractions are 1239/254,8732/9339

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 1239,8732

Greatest Common Factor of Numerators i.e. GCF of 1239,8732 is 59 .

LCM of Denominators means LCM of 254,9339 as per the given fractions.

LCM of 254,9339 is 2372106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1239,8732

GCF of Fractions 1239/254,8732/9339 is 59/2372106

59 1239, 8732
21, 148

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 1239,8732 By Matching Biggest Common Factor Method

Greatest Common Factor of 1239,8732 By Matching Biggest Common Factor Method

Factors of 1239

List of positive integer factors of 1239 that divides 1239 without a remainder.

1,3,7,21,59,177,413,1239

Factors of 8732

List of positive integer factors of 8732 that divides 8732 without a remainder.

1,2,4,37,59,74,118,148,236,2183,4366,8732

Greatest Common Factor

We found the factors 1239,8732 . The biggest common factor number is the GCF number.
So the greatest common factor 1239,8732 is 59.

Lets's calculate LCM of 254,9339

Given numbers has no common factors except 1. So, there LCM is their product i.e 2372106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/2372106

Therefore, the GCF of Fractions 1239/254,8732/9339 is 59/2372106

Least Common Multiple of 254,9339 with GCF Formula

Least Common Multiple of 254,9339 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 254,9339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,9339) = 1

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

GCF(254,9339) x common factors =1 x 1 = 1

LCM(254,9339) = ( 254 × 9339 ) / 1

LCM(254,9339) = 2372106 / 1

LCM(254,9339) = 2372106


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 1239/254, 8732/9339

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 1239/254, 8732/9339?

Answer: GCF of Numerators as per given numbers 1239/254, 8732/9339 is

GCF of Numerators i.e. for 1239,8732 is 59

LCM of denominators i.e. for 254,9339 is 2372106.

Thus, GCF of Fractions is 59/2372106.Finally, GCF of Fractions for 1239/254, 8732/9339 is 59/2372106.