Greatest Common Factor of 27/13, 823/12, 228/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/13, 823/12, 228/130

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 27/13,823/12,228/130

Given fractions are 27/13,823/12,228/130

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 27,823,228

Greatest Common Factor of Numerators i.e. GCF of 27,823,228 is 1 .

LCM of Denominators means LCM of 13,12,130 as per the given fractions.

LCM of 13,12,130 is 780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,823,228

GCF of Fractions 27/13,823/12,228/130 is 1/780

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

Greatest Common Factor of 27,823,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,823,228 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 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 27,823,228 . The biggest common factor number is the GCF number.
So the greatest common factor 27,823,228 is 1.

Lets's calculate LCM of 13,12,130

2 13, 12, 130
13 13, 6, 65
1, 6, 5

∴ So the LCM of the given numbers is 2 x 13 x 1 x 6 x 5 = 780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780

Therefore, the GCF of Fractions 27/13,823/12,228/130 is 1/780

Least Common Multiple of 13,12,130 with GCF Formula

Least Common Multiple of 13,12,130 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 13,12,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,12,130) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(13,12,130) x common factors =1 x 26 = 26

LCM(13,12,130) = ( 13 × 12 × 130 ) / 26

LCM(13,12,130) = 20280 / 26

LCM(13,12,130) = 780


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 27/13, 823/12, 228/130

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 27/13, 823/12, 228/130?

Answer: GCF of Numerators as per given numbers 27/13, 823/12, 228/130 is

GCF of Numerators i.e. for 27,823,228 is 1

LCM of denominators i.e. for 13,12,130 is 780.

Thus, GCF of Fractions is 1/780.Finally, GCF of Fractions for 27/13, 823/12, 228/130 is 1/780.