Greatest Common Factor of 2509/159, 7254/3816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2509/159, 7254/3816

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 2509/159,7254/3816

Given fractions are 2509/159,7254/3816

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 2509,7254

Greatest Common Factor of Numerators i.e. GCF of 2509,7254 is 13 .

LCM of Denominators means LCM of 159,3816 as per the given fractions.

LCM of 159,3816 is 3816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2509,7254

GCF of Fractions 2509/159,7254/3816 is 13/3816

13 2509, 7254
193, 558

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 2509,7254 By Matching Biggest Common Factor Method

Greatest Common Factor of 2509,7254 By Matching Biggest Common Factor Method

Factors of 2509

List of positive integer factors of 2509 that divides 2509 without a remainder.

1,13,193,2509

Factors of 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254

Greatest Common Factor

We found the factors 2509,7254 . The biggest common factor number is the GCF number.
So the greatest common factor 2509,7254 is 13.

Lets's calculate LCM of 159,3816

3 159, 3816
53 53, 1272
1, 24

∴ So the LCM of the given numbers is 3 x 53 x 1 x 24 = 3816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3816

Therefore, the GCF of Fractions 2509/159,7254/3816 is 13/3816

Least Common Multiple of 159,3816 with GCF Formula

Least Common Multiple of 159,3816 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 159,3816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,3816) = 159

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

GCF(159,3816) x common factors =159 x 1 = 159

LCM(159,3816) = ( 159 × 3816 ) / 159

LCM(159,3816) = 606744 / 159

LCM(159,3816) = 3816


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 2509/159, 7254/3816

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 2509/159, 7254/3816?

Answer: GCF of Numerators as per given numbers 2509/159, 7254/3816 is

GCF of Numerators i.e. for 2509,7254 is 13

LCM of denominators i.e. for 159,3816 is 3816.

Thus, GCF of Fractions is 13/3816.Finally, GCF of Fractions for 2509/159, 7254/3816 is 13/3816.