Greatest Common Factor of 113/997, 2900/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 113/997, 2900/290

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 113/997,2900/290

Given fractions are 113/997,2900/290

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 113,2900

Greatest Common Factor of Numerators i.e. GCF of 113,2900 is 1 .

LCM of Denominators means LCM of 997,290 as per the given fractions.

LCM of 997,290 is 289130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 113,2900

GCF of Fractions 113/997,2900/290 is 1/289130

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

Greatest Common Factor of 113,2900 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,2900 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 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 113,2900 . The biggest common factor number is the GCF number.
So the greatest common factor 113,2900 is 1.

Lets's calculate LCM of 997,290

Given numbers has no common factors except 1. So, there LCM is their product i.e 289130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289130

Therefore, the GCF of Fractions 113/997,2900/290 is 1/289130

Least Common Multiple of 997,290 with GCF Formula

Least Common Multiple of 997,290 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 997,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,290) = 1

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

GCF(997,290) x common factors =1 x 1 = 1

LCM(997,290) = ( 997 × 290 ) / 1

LCM(997,290) = 289130 / 1

LCM(997,290) = 289130


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 113/997, 2900/290

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 113/997, 2900/290?

Answer: GCF of Numerators as per given numbers 113/997, 2900/290 is

GCF of Numerators i.e. for 113,2900 is 1

LCM of denominators i.e. for 997,290 is 289130.

Thus, GCF of Fractions is 1/289130.Finally, GCF of Fractions for 113/997, 2900/290 is 1/289130.