Greatest Common Factor of 338/513, 9596/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/513, 9596/487

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 338/513,9596/487

Given fractions are 338/513,9596/487

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 338,9596

Greatest Common Factor of Numerators i.e. GCF of 338,9596 is 2 .

LCM of Denominators means LCM of 513,487 as per the given fractions.

LCM of 513,487 is 249831 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,9596

GCF of Fractions 338/513,9596/487 is 2/249831

2 338, 9596
169, 4798

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

Greatest Common Factor of 338,9596 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,9596 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 9596

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

1,2,4,2399,4798,9596

Greatest Common Factor

We found the factors 338,9596 . The biggest common factor number is the GCF number.
So the greatest common factor 338,9596 is 2.

Lets's calculate LCM of 513,487

Given numbers has no common factors except 1. So, there LCM is their product i.e 249831

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/249831

Therefore, the GCF of Fractions 338/513,9596/487 is 2/249831

Least Common Multiple of 513,487 with GCF Formula

Least Common Multiple of 513,487 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 513,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,487) = 1

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

GCF(513,487) x common factors =1 x 1 = 1

LCM(513,487) = ( 513 × 487 ) / 1

LCM(513,487) = 249831 / 1

LCM(513,487) = 249831


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 338/513, 9596/487

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 338/513, 9596/487?

Answer: GCF of Numerators as per given numbers 338/513, 9596/487 is

GCF of Numerators i.e. for 338,9596 is 2

LCM of denominators i.e. for 513,487 is 249831.

Thus, GCF of Fractions is 2/249831.Finally, GCF of Fractions for 338/513, 9596/487 is 2/249831.