Greatest Common Factor of 9177/67, 2271/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9177/67, 2271/933

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 9177/67,2271/933

Given fractions are 9177/67,2271/933

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 9177,2271

Greatest Common Factor of Numerators i.e. GCF of 9177,2271 is 3 .

LCM of Denominators means LCM of 67,933 as per the given fractions.

LCM of 67,933 is 62511 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9177,2271

GCF of Fractions 9177/67,2271/933 is 3/62511

3 9177, 2271
3059, 757

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9177,2271 By Matching Biggest Common Factor Method

Greatest Common Factor of 9177,2271 By Matching Biggest Common Factor Method

Factors of 9177

List of positive integer factors of 9177 that divides 9177 without a remainder.

1,3,7,19,21,23,57,69,133,161,399,437,483,1311,3059,9177

Factors of 2271

List of positive integer factors of 2271 that divides 2271 without a remainder.

1,3,757,2271

Greatest Common Factor

We found the factors 9177,2271 . The biggest common factor number is the GCF number.
So the greatest common factor 9177,2271 is 3.

Lets's calculate LCM of 67,933

Given numbers has no common factors except 1. So, there LCM is their product i.e 62511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/62511

Therefore, the GCF of Fractions 9177/67,2271/933 is 3/62511

Least Common Multiple of 67,933 with GCF Formula

Least Common Multiple of 67,933 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 67,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,933) = 1

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

GCF(67,933) x common factors =1 x 1 = 1

LCM(67,933) = ( 67 × 933 ) / 1

LCM(67,933) = 62511 / 1

LCM(67,933) = 62511


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 9177/67, 2271/933

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 9177/67, 2271/933?

Answer: GCF of Numerators as per given numbers 9177/67, 2271/933 is

GCF of Numerators i.e. for 9177,2271 is 3

LCM of denominators i.e. for 67,933 is 62511.

Thus, GCF of Fractions is 3/62511.Finally, GCF of Fractions for 9177/67, 2271/933 is 3/62511.