Greatest Common Factor of 8616/225, 1233/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8616/225, 1233/115

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 8616/225,1233/115

Given fractions are 8616/225,1233/115

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 8616,1233

Greatest Common Factor of Numerators i.e. GCF of 8616,1233 is 3 .

LCM of Denominators means LCM of 225,115 as per the given fractions.

LCM of 225,115 is 5175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8616,1233

GCF of Fractions 8616/225,1233/115 is 3/5175

3 8616, 1233
2872, 411

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

Greatest Common Factor of 8616,1233 By Matching Biggest Common Factor Method

Greatest Common Factor of 8616,1233 By Matching Biggest Common Factor Method

Factors of 8616

List of positive integer factors of 8616 that divides 8616 without a remainder.

1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616

Factors of 1233

List of positive integer factors of 1233 that divides 1233 without a remainder.

1,3,9,137,411,1233

Greatest Common Factor

We found the factors 8616,1233 . The biggest common factor number is the GCF number.
So the greatest common factor 8616,1233 is 3.

Lets's calculate LCM of 225,115

5 225, 115
45, 23

∴ So the LCM of the given numbers is 5 x 45 x 23 = 5175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5175

Therefore, the GCF of Fractions 8616/225,1233/115 is 3/5175

Least Common Multiple of 225,115 with GCF Formula

Least Common Multiple of 225,115 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 225,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,115) = 5

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

GCF(225,115) x common factors =5 x 1 = 5

LCM(225,115) = ( 225 × 115 ) / 5

LCM(225,115) = 25875 / 5

LCM(225,115) = 5175


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 8616/225, 1233/115

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 8616/225, 1233/115?

Answer: GCF of Numerators as per given numbers 8616/225, 1233/115 is

GCF of Numerators i.e. for 8616,1233 is 3

LCM of denominators i.e. for 225,115 is 5175.

Thus, GCF of Fractions is 3/5175.Finally, GCF of Fractions for 8616/225, 1233/115 is 3/5175.