Greatest Common Factor of 4332/995, 9184/7218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4332/995, 9184/7218

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 4332/995,9184/7218

Given fractions are 4332/995,9184/7218

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 4332,9184

Greatest Common Factor of Numerators i.e. GCF of 4332,9184 is 4 .

LCM of Denominators means LCM of 995,7218 as per the given fractions.

LCM of 995,7218 is 7181910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4332,9184

GCF of Fractions 4332/995,9184/7218 is 4/7181910

2 4332, 9184
2 2166, 4592
1083, 2296

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4332,9184 By Matching Biggest Common Factor Method

Greatest Common Factor of 4332,9184 By Matching Biggest Common Factor Method

Factors of 4332

List of positive integer factors of 4332 that divides 4332 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228,361,722,1083,1444,2166,4332

Factors of 9184

List of positive integer factors of 9184 that divides 9184 without a remainder.

1,2,4,7,8,14,16,28,32,41,56,82,112,164,224,287,328,574,656,1148,1312,2296,4592,9184

Greatest Common Factor

We found the factors 4332,9184 . The biggest common factor number is the GCF number.
So the greatest common factor 4332,9184 is 4.

Lets's calculate LCM of 995,7218

Given numbers has no common factors except 1. So, there LCM is their product i.e 7181910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7181910

Therefore, the GCF of Fractions 4332/995,9184/7218 is 4/7181910

Least Common Multiple of 995,7218 with GCF Formula

Least Common Multiple of 995,7218 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 995,7218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,7218) = 1

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

GCF(995,7218) x common factors =1 x 1 = 1

LCM(995,7218) = ( 995 × 7218 ) / 1

LCM(995,7218) = 7181910 / 1

LCM(995,7218) = 7181910


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 4332/995, 9184/7218

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 4332/995, 9184/7218?

Answer: GCF of Numerators as per given numbers 4332/995, 9184/7218 is

GCF of Numerators i.e. for 4332,9184 is 4

LCM of denominators i.e. for 995,7218 is 7181910.

Thus, GCF of Fractions is 4/7181910.Finally, GCF of Fractions for 4332/995, 9184/7218 is 4/7181910.