Greatest Common Factor of 9/50, 28/48, 14/389, 246/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/50, 28/48, 14/389, 246/861

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 9/50,28/48,14/389,246/861

Given fractions are 9/50,28/48,14/389,246/861

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 9,28,14,246

Greatest Common Factor of Numerators i.e. GCF of 9,28,14,246 is 1 .

LCM of Denominators means LCM of 50,48,389,861 as per the given fractions.

LCM of 50,48,389,861 is 133971600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,28,14,246

GCF of Fractions 9/50,28/48,14/389,246/861 is 1/133971600

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

Greatest Common Factor of 9,28,14,246 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,28,14,246 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 28

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

1,2,4,7,14,28

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Greatest Common Factor

We found the factors 9,28,14,246 . The biggest common factor number is the GCF number.
So the greatest common factor 9,28,14,246 is 1.

Lets's calculate LCM of 50,48,389,861

2 50, 48, 389, 861
3 25, 24, 389, 861
25, 8, 389, 287

∴ So the LCM of the given numbers is 2 x 3 x 25 x 8 x 389 x 287 = 133971600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133971600

Therefore, the GCF of Fractions 9/50,28/48,14/389,246/861 is 1/133971600

Least Common Multiple of 50,48,389,861 with GCF Formula

Least Common Multiple of 50,48,389,861 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 50,48,389,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,48,389,861) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(50,48,389,861) x common factors =1 x 6 = 6

LCM(50,48,389,861) = ( 50 × 48 × 389 × 861 ) / 6

LCM(50,48,389,861) = 803829600 / 6

LCM(50,48,389,861) = 133971600


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 9/50, 28/48, 14/389, 246/861

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 9/50, 28/48, 14/389, 246/861?

Answer: GCF of Numerators as per given numbers 9/50, 28/48, 14/389, 246/861 is

GCF of Numerators i.e. for 9,28,14,246 is 1

LCM of denominators i.e. for 50,48,389,861 is 133971600.

Thus, GCF of Fractions is 1/133971600.Finally, GCF of Fractions for 9/50, 28/48, 14/389, 246/861 is 1/133971600.