Greatest Common Factor of 8835/32, 4636/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8835/32, 4636/721

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 8835/32,4636/721

Given fractions are 8835/32,4636/721

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 8835,4636

Greatest Common Factor of Numerators i.e. GCF of 8835,4636 is 19 .

LCM of Denominators means LCM of 32,721 as per the given fractions.

LCM of 32,721 is 23072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8835,4636

GCF of Fractions 8835/32,4636/721 is 19/23072

19 8835, 4636
465, 244

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 8835,4636 By Matching Biggest Common Factor Method

Greatest Common Factor of 8835,4636 By Matching Biggest Common Factor Method

Factors of 8835

List of positive integer factors of 8835 that divides 8835 without a remainder.

1,3,5,15,19,31,57,93,95,155,285,465,589,1767,2945,8835

Factors of 4636

List of positive integer factors of 4636 that divides 4636 without a remainder.

1,2,4,19,38,61,76,122,244,1159,2318,4636

Greatest Common Factor

We found the factors 8835,4636 . The biggest common factor number is the GCF number.
So the greatest common factor 8835,4636 is 19.

Lets's calculate LCM of 32,721

Given numbers has no common factors except 1. So, there LCM is their product i.e 23072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/23072

Therefore, the GCF of Fractions 8835/32,4636/721 is 19/23072

Least Common Multiple of 32,721 with GCF Formula

Least Common Multiple of 32,721 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 32,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,721) = 1

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

GCF(32,721) x common factors =1 x 1 = 1

LCM(32,721) = ( 32 × 721 ) / 1

LCM(32,721) = 23072 / 1

LCM(32,721) = 23072


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 8835/32, 4636/721

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 8835/32, 4636/721?

Answer: GCF of Numerators as per given numbers 8835/32, 4636/721 is

GCF of Numerators i.e. for 8835,4636 is 19

LCM of denominators i.e. for 32,721 is 23072.

Thus, GCF of Fractions is 19/23072.Finally, GCF of Fractions for 8835/32, 4636/721 is 19/23072.