Greatest Common Factor of 5538/12, 8185/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5538/12, 8185/254

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 5538/12,8185/254

Given fractions are 5538/12,8185/254

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 5538,8185

Greatest Common Factor of Numerators i.e. GCF of 5538,8185 is 1 .

LCM of Denominators means LCM of 12,254 as per the given fractions.

LCM of 12,254 is 1524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5538,8185

GCF of Fractions 5538/12,8185/254 is 1/1524

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5538,8185 By Matching Biggest Common Factor Method

Greatest Common Factor of 5538,8185 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 8185

List of positive integer factors of 8185 that divides 8185 without a remainder.

1,5,1637,8185

Greatest Common Factor

We found the factors 5538,8185 . The biggest common factor number is the GCF number.
So the greatest common factor 5538,8185 is 1.

Lets's calculate LCM of 12,254

2 12, 254
6, 127

∴ So the LCM of the given numbers is 2 x 6 x 127 = 1524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1524

Therefore, the GCF of Fractions 5538/12,8185/254 is 1/1524

Least Common Multiple of 12,254 with GCF Formula

Least Common Multiple of 12,254 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 12,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,254) = 2

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

GCF(12,254) x common factors =2 x 1 = 2

LCM(12,254) = ( 12 × 254 ) / 2

LCM(12,254) = 3048 / 2

LCM(12,254) = 1524


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 5538/12, 8185/254

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 5538/12, 8185/254?

Answer: GCF of Numerators as per given numbers 5538/12, 8185/254 is

GCF of Numerators i.e. for 5538,8185 is 1

LCM of denominators i.e. for 12,254 is 1524.

Thus, GCF of Fractions is 1/1524.Finally, GCF of Fractions for 5538/12, 8185/254 is 1/1524.