Greatest Common Factor of 9181/72, 9212/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9181/72, 9212/991

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 9181/72,9212/991

Given fractions are 9181/72,9212/991

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 9181,9212

Greatest Common Factor of Numerators i.e. GCF of 9181,9212 is 1 .

LCM of Denominators means LCM of 72,991 as per the given fractions.

LCM of 72,991 is 71352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9181,9212

GCF of Fractions 9181/72,9212/991 is 1/71352

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

Greatest Common Factor of 9181,9212 By Matching Biggest Common Factor Method

Greatest Common Factor of 9181,9212 By Matching Biggest Common Factor Method

Factors of 9181

List of positive integer factors of 9181 that divides 9181 without a remainder.

1,9181

Factors of 9212

List of positive integer factors of 9212 that divides 9212 without a remainder.

1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212

Greatest Common Factor

We found the factors 9181,9212 . The biggest common factor number is the GCF number.
So the greatest common factor 9181,9212 is 1.

Lets's calculate LCM of 72,991

Given numbers has no common factors except 1. So, there LCM is their product i.e 71352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71352

Therefore, the GCF of Fractions 9181/72,9212/991 is 1/71352

Least Common Multiple of 72,991 with GCF Formula

Least Common Multiple of 72,991 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 72,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,991) = 1

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

GCF(72,991) x common factors =1 x 1 = 1

LCM(72,991) = ( 72 × 991 ) / 1

LCM(72,991) = 71352 / 1

LCM(72,991) = 71352


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 9181/72, 9212/991

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 9181/72, 9212/991?

Answer: GCF of Numerators as per given numbers 9181/72, 9212/991 is

GCF of Numerators i.e. for 9181,9212 is 1

LCM of denominators i.e. for 72,991 is 71352.

Thus, GCF of Fractions is 1/71352.Finally, GCF of Fractions for 9181/72, 9212/991 is 1/71352.