Greatest Common Factor of 8959/54, 1455/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8959/54, 1455/223

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 8959/54,1455/223

Given fractions are 8959/54,1455/223

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 8959,1455

Greatest Common Factor of Numerators i.e. GCF of 8959,1455 is 1 .

LCM of Denominators means LCM of 54,223 as per the given fractions.

LCM of 54,223 is 12042 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8959,1455

GCF of Fractions 8959/54,1455/223 is 1/12042

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8959,1455 By Matching Biggest Common Factor Method

Greatest Common Factor of 8959,1455 By Matching Biggest Common Factor Method

Factors of 8959

List of positive integer factors of 8959 that divides 8959 without a remainder.

1,17,31,289,527,8959

Factors of 1455

List of positive integer factors of 1455 that divides 1455 without a remainder.

1,3,5,15,97,291,485,1455

Greatest Common Factor

We found the factors 8959,1455 . The biggest common factor number is the GCF number.
So the greatest common factor 8959,1455 is 1.

Lets's calculate LCM of 54,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 12042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12042

Therefore, the GCF of Fractions 8959/54,1455/223 is 1/12042

Least Common Multiple of 54,223 with GCF Formula

Least Common Multiple of 54,223 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 54,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,223) = 1

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

GCF(54,223) x common factors =1 x 1 = 1

LCM(54,223) = ( 54 × 223 ) / 1

LCM(54,223) = 12042 / 1

LCM(54,223) = 12042


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 8959/54, 1455/223

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 8959/54, 1455/223?

Answer: GCF of Numerators as per given numbers 8959/54, 1455/223 is

GCF of Numerators i.e. for 8959,1455 is 1

LCM of denominators i.e. for 54,223 is 12042.

Thus, GCF of Fractions is 1/12042.Finally, GCF of Fractions for 8959/54, 1455/223 is 1/12042.