Greatest Common Factor of 113/498, 200/302, 218/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 113/498, 200/302, 218/566

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 113/498,200/302,218/566

Given fractions are 113/498,200/302,218/566

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 113,200,218

Greatest Common Factor of Numerators i.e. GCF of 113,200,218 is 1 .

LCM of Denominators means LCM of 498,302,566 as per the given fractions.

LCM of 498,302,566 is 21281034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 113,200,218

GCF of Fractions 113/498,200/302,218/566 is 1/21281034

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 113,200,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,200,218 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 113,200,218 . The biggest common factor number is the GCF number.
So the greatest common factor 113,200,218 is 1.

Lets's calculate LCM of 498,302,566

2 498, 302, 566
249, 151, 283

∴ So the LCM of the given numbers is 2 x 249 x 151 x 283 = 21281034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21281034

Therefore, the GCF of Fractions 113/498,200/302,218/566 is 1/21281034

Least Common Multiple of 498,302,566 with GCF Formula

Least Common Multiple of 498,302,566 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 498,302,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,302,566) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(498,302,566) x common factors =2 x 2 = 4

LCM(498,302,566) = ( 498 × 302 × 566 ) / 4

LCM(498,302,566) = 85124136 / 4

LCM(498,302,566) = 21281034


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 113/498, 200/302, 218/566

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 113/498, 200/302, 218/566?

Answer: GCF of Numerators as per given numbers 113/498, 200/302, 218/566 is

GCF of Numerators i.e. for 113,200,218 is 1

LCM of denominators i.e. for 498,302,566 is 21281034.

Thus, GCF of Fractions is 1/21281034.Finally, GCF of Fractions for 113/498, 200/302, 218/566 is 1/21281034.