Greatest Common Factor of 9328/33, 2871/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9328/33, 2871/212

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 9328/33,2871/212

Given fractions are 9328/33,2871/212

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 9328,2871

Greatest Common Factor of Numerators i.e. GCF of 9328,2871 is 11 .

LCM of Denominators means LCM of 33,212 as per the given fractions.

LCM of 33,212 is 6996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9328,2871

GCF of Fractions 9328/33,2871/212 is 11/6996

11 9328, 2871
848, 261

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9328,2871 By Matching Biggest Common Factor Method

Greatest Common Factor of 9328,2871 By Matching Biggest Common Factor Method

Factors of 9328

List of positive integer factors of 9328 that divides 9328 without a remainder.

1,2,4,8,11,16,22,44,53,88,106,176,212,424,583,848,1166,2332,4664,9328

Factors of 2871

List of positive integer factors of 2871 that divides 2871 without a remainder.

1,3,9,11,29,33,87,99,261,319,957,2871

Greatest Common Factor

We found the factors 9328,2871 . The biggest common factor number is the GCF number.
So the greatest common factor 9328,2871 is 11.

Lets's calculate LCM of 33,212

Given numbers has no common factors except 1. So, there LCM is their product i.e 6996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6996

Therefore, the GCF of Fractions 9328/33,2871/212 is 11/6996

Least Common Multiple of 33,212 with GCF Formula

Least Common Multiple of 33,212 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 33,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,212) = 1

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

GCF(33,212) x common factors =1 x 1 = 1

LCM(33,212) = ( 33 × 212 ) / 1

LCM(33,212) = 6996 / 1

LCM(33,212) = 6996


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 9328/33, 2871/212

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 9328/33, 2871/212?

Answer: GCF of Numerators as per given numbers 9328/33, 2871/212 is

GCF of Numerators i.e. for 9328,2871 is 11

LCM of denominators i.e. for 33,212 is 6996.

Thus, GCF of Fractions is 11/6996.Finally, GCF of Fractions for 9328/33, 2871/212 is 11/6996.