Greatest Common Factor of 8822/28, 9160/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8822/28, 9160/184

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 8822/28,9160/184

Given fractions are 8822/28,9160/184

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 8822,9160

Greatest Common Factor of Numerators i.e. GCF of 8822,9160 is 2 .

LCM of Denominators means LCM of 28,184 as per the given fractions.

LCM of 28,184 is 1288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8822,9160

GCF of Fractions 8822/28,9160/184 is 2/1288

2 8822, 9160
4411, 4580

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

Greatest Common Factor of 8822,9160 By Matching Biggest Common Factor Method

Greatest Common Factor of 8822,9160 By Matching Biggest Common Factor Method

Factors of 8822

List of positive integer factors of 8822 that divides 8822 without a remainder.

1,2,11,22,401,802,4411,8822

Factors of 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160

Greatest Common Factor

We found the factors 8822,9160 . The biggest common factor number is the GCF number.
So the greatest common factor 8822,9160 is 2.

Lets's calculate LCM of 28,184

2 28, 184
2 14, 92
7, 46

∴ So the LCM of the given numbers is 2 x 2 x 7 x 46 = 1288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1288

Therefore, the GCF of Fractions 8822/28,9160/184 is 2/1288

Least Common Multiple of 28,184 with GCF Formula

Least Common Multiple of 28,184 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 28,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,184) = 4

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

GCF(28,184) x common factors =4 x 1 = 4

LCM(28,184) = ( 28 × 184 ) / 4

LCM(28,184) = 5152 / 4

LCM(28,184) = 1288


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 8822/28, 9160/184

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 8822/28, 9160/184?

Answer: GCF of Numerators as per given numbers 8822/28, 9160/184 is

GCF of Numerators i.e. for 8822,9160 is 2

LCM of denominators i.e. for 28,184 is 1288.

Thus, GCF of Fractions is 2/1288.Finally, GCF of Fractions for 8822/28, 9160/184 is 2/1288.