Greatest Common Factor of 500/308, 414/273, 518/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 500/308, 414/273, 518/559

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 500/308,414/273,518/559

Given fractions are 500/308,414/273,518/559

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 500,414,518

Greatest Common Factor of Numerators i.e. GCF of 500,414,518 is 2 .

LCM of Denominators means LCM of 308,273,559 as per the given fractions.

LCM of 308,273,559 is 516516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 500,414,518

GCF of Fractions 500/308,414/273,518/559 is 2/516516

2 500, 414, 518
250, 207, 259

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

Greatest Common Factor of 500,414,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,414,518 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 500,414,518 . The biggest common factor number is the GCF number.
So the greatest common factor 500,414,518 is 2.

Lets's calculate LCM of 308,273,559

7 308, 273, 559
13 44, 39, 559
44, 3, 43

∴ So the LCM of the given numbers is 7 x 13 x 44 x 3 x 43 = 516516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/516516

Therefore, the GCF of Fractions 500/308,414/273,518/559 is 2/516516

Least Common Multiple of 308,273,559 with GCF Formula

Least Common Multiple of 308,273,559 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 308,273,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,273,559) = 1

common factors(in case of two or more numbers have common factors) = 91

GCF(308,273,559) x common factors =1 x 91 = 91

LCM(308,273,559) = ( 308 × 273 × 559 ) / 91

LCM(308,273,559) = 47002956 / 91

LCM(308,273,559) = 516516


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 500/308, 414/273, 518/559

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 500/308, 414/273, 518/559?

Answer: GCF of Numerators as per given numbers 500/308, 414/273, 518/559 is

GCF of Numerators i.e. for 500,414,518 is 2

LCM of denominators i.e. for 308,273,559 is 516516.

Thus, GCF of Fractions is 2/516516.Finally, GCF of Fractions for 500/308, 414/273, 518/559 is 2/516516.