Greatest Common Factor of 116/318, 2900/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 116/318, 2900/230

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 116/318,2900/230

Given fractions are 116/318,2900/230

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 116,2900

Greatest Common Factor of Numerators i.e. GCF of 116,2900 is 116 .

LCM of Denominators means LCM of 318,230 as per the given fractions.

LCM of 318,230 is 36570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 116,2900

GCF of Fractions 116/318,2900/230 is 116/36570

2 116, 2900
2 58, 1450
29 29, 725
1, 25

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

Greatest Common Factor of 116,2900 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,2900 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 2900

List of positive integer factors of 2900 that divides 2900 without a remainder.

1,2,4,5,10,20,25,29,50,58,100,116,145,290,580,725,1450,2900

Greatest Common Factor

We found the factors 116,2900 . The biggest common factor number is the GCF number.
So the greatest common factor 116,2900 is 116.

Lets's calculate LCM of 318,230

2 318, 230
159, 115

∴ So the LCM of the given numbers is 2 x 159 x 115 = 36570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/36570

Therefore, the GCF of Fractions 116/318,2900/230 is 116/36570

Least Common Multiple of 318,230 with GCF Formula

Least Common Multiple of 318,230 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 318,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,230) = 2

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

GCF(318,230) x common factors =2 x 1 = 2

LCM(318,230) = ( 318 × 230 ) / 2

LCM(318,230) = 73140 / 2

LCM(318,230) = 36570


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 116/318, 2900/230

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 116/318, 2900/230?

Answer: GCF of Numerators as per given numbers 116/318, 2900/230 is

GCF of Numerators i.e. for 116,2900 is 116

LCM of denominators i.e. for 318,230 is 36570.

Thus, GCF of Fractions is 116/36570.Finally, GCF of Fractions for 116/318, 2900/230 is 116/36570.