Greatest Common Factor of 28/189, 842/737, 866/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/189, 842/737, 866/500

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 28/189,842/737,866/500

Given fractions are 28/189,842/737,866/500

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 28,842,866

Greatest Common Factor of Numerators i.e. GCF of 28,842,866 is 2 .

LCM of Denominators means LCM of 189,737,500 as per the given fractions.

LCM of 189,737,500 is 69646500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,842,866

GCF of Fractions 28/189,842/737,866/500 is 2/69646500

2 28, 842, 866
14, 421, 433

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

Greatest Common Factor of 28,842,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,842,866 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 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 28,842,866 . The biggest common factor number is the GCF number.
So the greatest common factor 28,842,866 is 2.

Lets's calculate LCM of 189,737,500

Given numbers has no common factors except 1. So, there LCM is their product i.e 69646500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/69646500

Therefore, the GCF of Fractions 28/189,842/737,866/500 is 2/69646500

Least Common Multiple of 189,737,500 with GCF Formula

Least Common Multiple of 189,737,500 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 189,737,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,737,500) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(189,737,500) x common factors =1 x 1 = 1

LCM(189,737,500) = ( 189 × 737 × 500 ) / 1

LCM(189,737,500) = 69646500 / 1

LCM(189,737,500) = 69646500


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 28/189, 842/737, 866/500

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 28/189, 842/737, 866/500?

Answer: GCF of Numerators as per given numbers 28/189, 842/737, 866/500 is

GCF of Numerators i.e. for 28,842,866 is 2

LCM of denominators i.e. for 189,737,500 is 69646500.

Thus, GCF of Fractions is 2/69646500.Finally, GCF of Fractions for 28/189, 842/737, 866/500 is 2/69646500.