Greatest Common Factor of 5499/137, 5434/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5499/137, 5434/268

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 5499/137,5434/268

Given fractions are 5499/137,5434/268

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 5499,5434

Greatest Common Factor of Numerators i.e. GCF of 5499,5434 is 13 .

LCM of Denominators means LCM of 137,268 as per the given fractions.

LCM of 137,268 is 36716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5499,5434

GCF of Fractions 5499/137,5434/268 is 13/36716

13 5499, 5434
423, 418

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

Greatest Common Factor of 5499,5434 By Matching Biggest Common Factor Method

Greatest Common Factor of 5499,5434 By Matching Biggest Common Factor Method

Factors of 5499

List of positive integer factors of 5499 that divides 5499 without a remainder.

1,3,9,13,39,47,117,141,423,611,1833,5499

Factors of 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434

Greatest Common Factor

We found the factors 5499,5434 . The biggest common factor number is the GCF number.
So the greatest common factor 5499,5434 is 13.

Lets's calculate LCM of 137,268

Given numbers has no common factors except 1. So, there LCM is their product i.e 36716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/36716

Therefore, the GCF of Fractions 5499/137,5434/268 is 13/36716

Least Common Multiple of 137,268 with GCF Formula

Least Common Multiple of 137,268 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 137,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,268) = 1

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

GCF(137,268) x common factors =1 x 1 = 1

LCM(137,268) = ( 137 × 268 ) / 1

LCM(137,268) = 36716 / 1

LCM(137,268) = 36716


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 5499/137, 5434/268

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 5499/137, 5434/268?

Answer: GCF of Numerators as per given numbers 5499/137, 5434/268 is

GCF of Numerators i.e. for 5499,5434 is 13

LCM of denominators i.e. for 137,268 is 36716.

Thus, GCF of Fractions is 13/36716.Finally, GCF of Fractions for 5499/137, 5434/268 is 13/36716.