Greatest Common Factor of 9116/22, 8900/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9116/22, 8900/523

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 9116/22,8900/523

Given fractions are 9116/22,8900/523

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 9116,8900

Greatest Common Factor of Numerators i.e. GCF of 9116,8900 is 4 .

LCM of Denominators means LCM of 22,523 as per the given fractions.

LCM of 22,523 is 11506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9116,8900

GCF of Fractions 9116/22,8900/523 is 4/11506

2 9116, 8900
2 4558, 4450
2279, 2225

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

Greatest Common Factor of 9116,8900 By Matching Biggest Common Factor Method

Greatest Common Factor of 9116,8900 By Matching Biggest Common Factor Method

Factors of 9116

List of positive integer factors of 9116 that divides 9116 without a remainder.

1,2,4,43,53,86,106,172,212,2279,4558,9116

Factors of 8900

List of positive integer factors of 8900 that divides 8900 without a remainder.

1,2,4,5,10,20,25,50,89,100,178,356,445,890,1780,2225,4450,8900

Greatest Common Factor

We found the factors 9116,8900 . The biggest common factor number is the GCF number.
So the greatest common factor 9116,8900 is 4.

Lets's calculate LCM of 22,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 11506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11506

Therefore, the GCF of Fractions 9116/22,8900/523 is 4/11506

Least Common Multiple of 22,523 with GCF Formula

Least Common Multiple of 22,523 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 22,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,523) = 1

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

GCF(22,523) x common factors =1 x 1 = 1

LCM(22,523) = ( 22 × 523 ) / 1

LCM(22,523) = 11506 / 1

LCM(22,523) = 11506


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 9116/22, 8900/523

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 9116/22, 8900/523?

Answer: GCF of Numerators as per given numbers 9116/22, 8900/523 is

GCF of Numerators i.e. for 9116,8900 is 4

LCM of denominators i.e. for 22,523 is 11506.

Thus, GCF of Fractions is 4/11506.Finally, GCF of Fractions for 9116/22, 8900/523 is 4/11506.