Greatest Common Factor of 28/151, 28/113, 638/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/151, 28/113, 638/226

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 28/151,28/113,638/226

Given fractions are 28/151,28/113,638/226

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 28,28,638

Greatest Common Factor of Numerators i.e. GCF of 28,28,638 is 2 .

LCM of Denominators means LCM of 151,113,226 as per the given fractions.

LCM of 151,113,226 is 34126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,28,638

GCF of Fractions 28/151,28/113,638/226 is 2/34126

2 28, 28, 638
14, 14, 319

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 28,28,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,28,638 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 28,28,638 . The biggest common factor number is the GCF number.
So the greatest common factor 28,28,638 is 2.

Lets's calculate LCM of 151,113,226

113 151, 113, 226
151, 1, 2

∴ So the LCM of the given numbers is 113 x 151 x 1 x 2 = 34126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34126

Therefore, the GCF of Fractions 28/151,28/113,638/226 is 2/34126

Least Common Multiple of 151,113,226 with GCF Formula

Least Common Multiple of 151,113,226 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 151,113,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,113,226) = 1

common factors(in case of two or more numbers have common factors) = 113

GCF(151,113,226) x common factors =1 x 113 = 113

LCM(151,113,226) = ( 151 × 113 × 226 ) / 113

LCM(151,113,226) = 3856238 / 113

LCM(151,113,226) = 34126


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 28/151, 28/113, 638/226

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 28/151, 28/113, 638/226?

Answer: GCF of Numerators as per given numbers 28/151, 28/113, 638/226 is

GCF of Numerators i.e. for 28,28,638 is 2

LCM of denominators i.e. for 151,113,226 is 34126.

Thus, GCF of Fractions is 2/34126.Finally, GCF of Fractions for 28/151, 28/113, 638/226 is 2/34126.