Greatest Common Factor of 27/33, 25/12, 124/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/33, 25/12, 124/526

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 27/33,25/12,124/526

Given fractions are 27/33,25/12,124/526

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 27,25,124

Greatest Common Factor of Numerators i.e. GCF of 27,25,124 is 1 .

LCM of Denominators means LCM of 33,12,526 as per the given fractions.

LCM of 33,12,526 is 34716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,25,124

GCF of Fractions 27/33,25/12,124/526 is 1/34716

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

Greatest Common Factor of 27,25,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,25,124 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 27,25,124 . The biggest common factor number is the GCF number.
So the greatest common factor 27,25,124 is 1.

Lets's calculate LCM of 33,12,526

2 33, 12, 526
3 33, 6, 263
11, 2, 263

∴ So the LCM of the given numbers is 2 x 3 x 11 x 2 x 263 = 34716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34716

Therefore, the GCF of Fractions 27/33,25/12,124/526 is 1/34716

Least Common Multiple of 33,12,526 with GCF Formula

Least Common Multiple of 33,12,526 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 33,12,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,12,526) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(33,12,526) x common factors =1 x 6 = 6

LCM(33,12,526) = ( 33 × 12 × 526 ) / 6

LCM(33,12,526) = 208296 / 6

LCM(33,12,526) = 34716


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 27/33, 25/12, 124/526

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 27/33, 25/12, 124/526?

Answer: GCF of Numerators as per given numbers 27/33, 25/12, 124/526 is

GCF of Numerators i.e. for 27,25,124 is 1

LCM of denominators i.e. for 33,12,526 is 34716.

Thus, GCF of Fractions is 1/34716.Finally, GCF of Fractions for 27/33, 25/12, 124/526 is 1/34716.