Greatest Common Factor of 5538/259, 9815/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5538/259, 9815/299

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 5538/259,9815/299

Given fractions are 5538/259,9815/299

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 5538,9815

Greatest Common Factor of Numerators i.e. GCF of 5538,9815 is 13 .

LCM of Denominators means LCM of 259,299 as per the given fractions.

LCM of 259,299 is 77441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5538,9815

GCF of Fractions 5538/259,9815/299 is 13/77441

13 5538, 9815
426, 755

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

Greatest Common Factor of 5538,9815 By Matching Biggest Common Factor Method

Greatest Common Factor of 5538,9815 By Matching Biggest Common Factor Method

Factors of 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538

Factors of 9815

List of positive integer factors of 9815 that divides 9815 without a remainder.

1,5,13,65,151,755,1963,9815

Greatest Common Factor

We found the factors 5538,9815 . The biggest common factor number is the GCF number.
So the greatest common factor 5538,9815 is 13.

Lets's calculate LCM of 259,299

Given numbers has no common factors except 1. So, there LCM is their product i.e 77441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/77441

Therefore, the GCF of Fractions 5538/259,9815/299 is 13/77441

Least Common Multiple of 259,299 with GCF Formula

Least Common Multiple of 259,299 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 259,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,299) = 1

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

GCF(259,299) x common factors =1 x 1 = 1

LCM(259,299) = ( 259 × 299 ) / 1

LCM(259,299) = 77441 / 1

LCM(259,299) = 77441


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 5538/259, 9815/299

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 5538/259, 9815/299?

Answer: GCF of Numerators as per given numbers 5538/259, 9815/299 is

GCF of Numerators i.e. for 5538,9815 is 13

LCM of denominators i.e. for 259,299 is 77441.

Thus, GCF of Fractions is 13/77441.Finally, GCF of Fractions for 5538/259, 9815/299 is 13/77441.