Greatest Common Factor of 9596/39, 5142/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9596/39, 5142/150

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 9596/39,5142/150

Given fractions are 9596/39,5142/150

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 9596,5142

Greatest Common Factor of Numerators i.e. GCF of 9596,5142 is 2 .

LCM of Denominators means LCM of 39,150 as per the given fractions.

LCM of 39,150 is 1950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9596,5142

GCF of Fractions 9596/39,5142/150 is 2/1950

2 9596, 5142
4798, 2571

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

Greatest Common Factor of 9596,5142 By Matching Biggest Common Factor Method

Greatest Common Factor of 9596,5142 By Matching Biggest Common Factor Method

Factors of 9596

List of positive integer factors of 9596 that divides 9596 without a remainder.

1,2,4,2399,4798,9596

Factors of 5142

List of positive integer factors of 5142 that divides 5142 without a remainder.

1,2,3,6,857,1714,2571,5142

Greatest Common Factor

We found the factors 9596,5142 . The biggest common factor number is the GCF number.
So the greatest common factor 9596,5142 is 2.

Lets's calculate LCM of 39,150

3 39, 150
13, 50

∴ So the LCM of the given numbers is 3 x 13 x 50 = 1950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1950

Therefore, the GCF of Fractions 9596/39,5142/150 is 2/1950

Least Common Multiple of 39,150 with GCF Formula

Least Common Multiple of 39,150 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 39,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,150) = 3

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

GCF(39,150) x common factors =3 x 1 = 3

LCM(39,150) = ( 39 × 150 ) / 3

LCM(39,150) = 5850 / 3

LCM(39,150) = 1950


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 9596/39, 5142/150

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 9596/39, 5142/150?

Answer: GCF of Numerators as per given numbers 9596/39, 5142/150 is

GCF of Numerators i.e. for 9596,5142 is 2

LCM of denominators i.e. for 39,150 is 1950.

Thus, GCF of Fractions is 2/1950.Finally, GCF of Fractions for 9596/39, 5142/150 is 2/1950.