Greatest Common Factor of 28/456, 26/636, 500/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/456, 26/636, 500/231

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 28/456,26/636,500/231

Given fractions are 28/456,26/636,500/231

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 28,26,500

Greatest Common Factor of Numerators i.e. GCF of 28,26,500 is 2 .

LCM of Denominators means LCM of 456,636,231 as per the given fractions.

LCM of 456,636,231 is 1860936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,26,500

GCF of Fractions 28/456,26/636,500/231 is 2/1860936

2 28, 26, 500
14, 13, 250

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

Greatest Common Factor of 28,26,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,26,500 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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 28,26,500 . The biggest common factor number is the GCF number.
So the greatest common factor 28,26,500 is 2.

Lets's calculate LCM of 456,636,231

2 456, 636, 231
2 228, 318, 231
3 114, 159, 231
38, 53, 77

∴ So the LCM of the given numbers is 2 x 2 x 3 x 38 x 53 x 77 = 1860936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1860936

Therefore, the GCF of Fractions 28/456,26/636,500/231 is 2/1860936

Least Common Multiple of 456,636,231 with GCF Formula

Least Common Multiple of 456,636,231 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 456,636,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,636,231) = 3

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

GCF(456,636,231) x common factors =3 x 12 = 36

LCM(456,636,231) = ( 456 × 636 × 231 ) / 36

LCM(456,636,231) = 66993696 / 36

LCM(456,636,231) = 1860936


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 28/456, 26/636, 500/231

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 28/456, 26/636, 500/231?

Answer: GCF of Numerators as per given numbers 28/456, 26/636, 500/231 is

GCF of Numerators i.e. for 28,26,500 is 2

LCM of denominators i.e. for 456,636,231 is 1860936.

Thus, GCF of Fractions is 2/1860936.Finally, GCF of Fractions for 28/456, 26/636, 500/231 is 2/1860936.