Greatest Common Factor of 27/208, 489/276, 126/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/208, 489/276, 126/189

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 27/208,489/276,126/189

Given fractions are 27/208,489/276,126/189

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 27,489,126

Greatest Common Factor of Numerators i.e. GCF of 27,489,126 is 3 .

LCM of Denominators means LCM of 208,276,189 as per the given fractions.

LCM of 208,276,189 is 904176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,489,126

GCF of Fractions 27/208,489/276,126/189 is 3/904176

3 27, 489, 126
9, 163, 42

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 27,489,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,489,126 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 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 27,489,126 . The biggest common factor number is the GCF number.
So the greatest common factor 27,489,126 is 3.

Lets's calculate LCM of 208,276,189

2 208, 276, 189
2 104, 138, 189
3 52, 69, 189
52, 23, 63

∴ So the LCM of the given numbers is 2 x 2 x 3 x 52 x 23 x 63 = 904176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/904176

Therefore, the GCF of Fractions 27/208,489/276,126/189 is 3/904176

Least Common Multiple of 208,276,189 with GCF Formula

Least Common Multiple of 208,276,189 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 208,276,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,276,189) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(208,276,189) x common factors =1 x 12 = 12

LCM(208,276,189) = ( 208 × 276 × 189 ) / 12

LCM(208,276,189) = 10850112 / 12

LCM(208,276,189) = 904176


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 27/208, 489/276, 126/189

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 27/208, 489/276, 126/189?

Answer: GCF of Numerators as per given numbers 27/208, 489/276, 126/189 is

GCF of Numerators i.e. for 27,489,126 is 3

LCM of denominators i.e. for 208,276,189 is 904176.

Thus, GCF of Fractions is 3/904176.Finally, GCF of Fractions for 27/208, 489/276, 126/189 is 3/904176.