Greatest Common Factor of 7193/36, 9215/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7193/36, 9215/347

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 7193/36,9215/347

Given fractions are 7193/36,9215/347

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 7193,9215

Greatest Common Factor of Numerators i.e. GCF of 7193,9215 is 1 .

LCM of Denominators means LCM of 36,347 as per the given fractions.

LCM of 36,347 is 12492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7193,9215

GCF of Fractions 7193/36,9215/347 is 1/12492

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

Greatest Common Factor of 7193,9215 By Matching Biggest Common Factor Method

Greatest Common Factor of 7193,9215 By Matching Biggest Common Factor Method

Factors of 7193

List of positive integer factors of 7193 that divides 7193 without a remainder.

1,7193

Factors of 9215

List of positive integer factors of 9215 that divides 9215 without a remainder.

1,5,19,95,97,485,1843,9215

Greatest Common Factor

We found the factors 7193,9215 . The biggest common factor number is the GCF number.
So the greatest common factor 7193,9215 is 1.

Lets's calculate LCM of 36,347

Given numbers has no common factors except 1. So, there LCM is their product i.e 12492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12492

Therefore, the GCF of Fractions 7193/36,9215/347 is 1/12492

Least Common Multiple of 36,347 with GCF Formula

Least Common Multiple of 36,347 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 36,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,347) = 1

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

GCF(36,347) x common factors =1 x 1 = 1

LCM(36,347) = ( 36 × 347 ) / 1

LCM(36,347) = 12492 / 1

LCM(36,347) = 12492


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 7193/36, 9215/347

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 7193/36, 9215/347?

Answer: GCF of Numerators as per given numbers 7193/36, 9215/347 is

GCF of Numerators i.e. for 7193,9215 is 1

LCM of denominators i.e. for 36,347 is 12492.

Thus, GCF of Fractions is 1/12492.Finally, GCF of Fractions for 7193/36, 9215/347 is 1/12492.