Greatest Common Factor of 458/500, 2936/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 458/500, 2936/436

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 458/500,2936/436

Given fractions are 458/500,2936/436

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 458,2936

Greatest Common Factor of Numerators i.e. GCF of 458,2936 is 2 .

LCM of Denominators means LCM of 500,436 as per the given fractions.

LCM of 500,436 is 54500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 458,2936

GCF of Fractions 458/500,2936/436 is 2/54500

2 458, 2936
229, 1468

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

Greatest Common Factor of 458,2936 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,2936 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 2936

List of positive integer factors of 2936 that divides 2936 without a remainder.

1,2,4,8,367,734,1468,2936

Greatest Common Factor

We found the factors 458,2936 . The biggest common factor number is the GCF number.
So the greatest common factor 458,2936 is 2.

Lets's calculate LCM of 500,436

2 500, 436
2 250, 218
125, 109

∴ So the LCM of the given numbers is 2 x 2 x 125 x 109 = 54500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54500

Therefore, the GCF of Fractions 458/500,2936/436 is 2/54500

Least Common Multiple of 500,436 with GCF Formula

Least Common Multiple of 500,436 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 500,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,436) = 4

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

GCF(500,436) x common factors =4 x 1 = 4

LCM(500,436) = ( 500 × 436 ) / 4

LCM(500,436) = 218000 / 4

LCM(500,436) = 54500


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 458/500, 2936/436

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 458/500, 2936/436?

Answer: GCF of Numerators as per given numbers 458/500, 2936/436 is

GCF of Numerators i.e. for 458,2936 is 2

LCM of denominators i.e. for 500,436 is 54500.

Thus, GCF of Fractions is 2/54500.Finally, GCF of Fractions for 458/500, 2936/436 is 2/54500.