Greatest Common Factor of 40/518, 134/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/518, 134/259

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 40/518,134/259

Given fractions are 40/518,134/259

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 40,134

Greatest Common Factor of Numerators i.e. GCF of 40,134 is 2 .

LCM of Denominators means LCM of 518,259 as per the given fractions.

LCM of 518,259 is 518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,134

GCF of Fractions 40/518,134/259 is 2/518

2 40, 134
20, 67

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

Greatest Common Factor of 40,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,134 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 40,134 . The biggest common factor number is the GCF number.
So the greatest common factor 40,134 is 2.

Lets's calculate LCM of 518,259

7 518, 259
37 74, 37
2, 1

∴ So the LCM of the given numbers is 7 x 37 x 2 x 1 = 518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/518

Therefore, the GCF of Fractions 40/518,134/259 is 2/518

Least Common Multiple of 518,259 with GCF Formula

Least Common Multiple of 518,259 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 518,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,259) = 259

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

GCF(518,259) x common factors =259 x 1 = 259

LCM(518,259) = ( 518 × 259 ) / 259

LCM(518,259) = 134162 / 259

LCM(518,259) = 518


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 40/518, 134/259

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 40/518, 134/259?

Answer: GCF of Numerators as per given numbers 40/518, 134/259 is

GCF of Numerators i.e. for 40,134 is 2

LCM of denominators i.e. for 518,259 is 518.

Thus, GCF of Fractions is 2/518.Finally, GCF of Fractions for 40/518, 134/259 is 2/518.