Greatest Common Factor of 9113/18, 2150/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9113/18, 2150/794

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 9113/18,2150/794

Given fractions are 9113/18,2150/794

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 9113,2150

Greatest Common Factor of Numerators i.e. GCF of 9113,2150 is 1 .

LCM of Denominators means LCM of 18,794 as per the given fractions.

LCM of 18,794 is 7146 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9113,2150

GCF of Fractions 9113/18,2150/794 is 1/7146

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

Greatest Common Factor of 9113,2150 By Matching Biggest Common Factor Method

Greatest Common Factor of 9113,2150 By Matching Biggest Common Factor Method

Factors of 9113

List of positive integer factors of 9113 that divides 9113 without a remainder.

1,13,701,9113

Factors of 2150

List of positive integer factors of 2150 that divides 2150 without a remainder.

1,2,5,10,25,43,50,86,215,430,1075,2150

Greatest Common Factor

We found the factors 9113,2150 . The biggest common factor number is the GCF number.
So the greatest common factor 9113,2150 is 1.

Lets's calculate LCM of 18,794

2 18, 794
9, 397

∴ So the LCM of the given numbers is 2 x 9 x 397 = 7146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7146

Therefore, the GCF of Fractions 9113/18,2150/794 is 1/7146

Least Common Multiple of 18,794 with GCF Formula

Least Common Multiple of 18,794 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 18,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,794) = 2

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

GCF(18,794) x common factors =2 x 1 = 2

LCM(18,794) = ( 18 × 794 ) / 2

LCM(18,794) = 14292 / 2

LCM(18,794) = 7146


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 9113/18, 2150/794

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 9113/18, 2150/794?

Answer: GCF of Numerators as per given numbers 9113/18, 2150/794 is

GCF of Numerators i.e. for 9113,2150 is 1

LCM of denominators i.e. for 18,794 is 7146.

Thus, GCF of Fractions is 1/7146.Finally, GCF of Fractions for 9113/18, 2150/794 is 1/7146.