Greatest Common Factor of 8589/88, 8835/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8589/88, 8835/824

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 8589/88,8835/824

Given fractions are 8589/88,8835/824

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 8589,8835

Greatest Common Factor of Numerators i.e. GCF of 8589,8835 is 3 .

LCM of Denominators means LCM of 88,824 as per the given fractions.

LCM of 88,824 is 9064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8589,8835

GCF of Fractions 8589/88,8835/824 is 3/9064

3 8589, 8835
2863, 2945

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

Greatest Common Factor of 8589,8835 By Matching Biggest Common Factor Method

Greatest Common Factor of 8589,8835 By Matching Biggest Common Factor Method

Factors of 8589

List of positive integer factors of 8589 that divides 8589 without a remainder.

1,3,7,21,409,1227,2863,8589

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

Greatest Common Factor

We found the factors 8589,8835 . The biggest common factor number is the GCF number.
So the greatest common factor 8589,8835 is 3.

Lets's calculate LCM of 88,824

2 88, 824
2 44, 412
2 22, 206
11, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 103 = 9064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9064

Therefore, the GCF of Fractions 8589/88,8835/824 is 3/9064

Least Common Multiple of 88,824 with GCF Formula

Least Common Multiple of 88,824 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 88,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,824) = 8

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

GCF(88,824) x common factors =8 x 1 = 8

LCM(88,824) = ( 88 × 824 ) / 8

LCM(88,824) = 72512 / 8

LCM(88,824) = 9064


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 8589/88, 8835/824

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 8589/88, 8835/824?

Answer: GCF of Numerators as per given numbers 8589/88, 8835/824 is

GCF of Numerators i.e. for 8589,8835 is 3

LCM of denominators i.e. for 88,824 is 9064.

Thus, GCF of Fractions is 3/9064.Finally, GCF of Fractions for 8589/88, 8835/824 is 3/9064.