Greatest Common Factor of 8562/918, 5330/2856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8562/918, 5330/2856

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 8562/918,5330/2856

Given fractions are 8562/918,5330/2856

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 8562,5330

Greatest Common Factor of Numerators i.e. GCF of 8562,5330 is 2 .

LCM of Denominators means LCM of 918,2856 as per the given fractions.

LCM of 918,2856 is 25704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8562,5330

GCF of Fractions 8562/918,5330/2856 is 2/25704

2 8562, 5330
4281, 2665

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

Greatest Common Factor of 8562,5330 By Matching Biggest Common Factor Method

Greatest Common Factor of 8562,5330 By Matching Biggest Common Factor Method

Factors of 8562

List of positive integer factors of 8562 that divides 8562 without a remainder.

1,2,3,6,1427,2854,4281,8562

Factors of 5330

List of positive integer factors of 5330 that divides 5330 without a remainder.

1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330

Greatest Common Factor

We found the factors 8562,5330 . The biggest common factor number is the GCF number.
So the greatest common factor 8562,5330 is 2.

Lets's calculate LCM of 918,2856

2 918, 2856
3 459, 1428
17 153, 476
9, 28

∴ So the LCM of the given numbers is 2 x 3 x 17 x 9 x 28 = 25704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25704

Therefore, the GCF of Fractions 8562/918,5330/2856 is 2/25704

Least Common Multiple of 918,2856 with GCF Formula

Least Common Multiple of 918,2856 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 918,2856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,2856) = 102

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

GCF(918,2856) x common factors =102 x 1 = 102

LCM(918,2856) = ( 918 × 2856 ) / 102

LCM(918,2856) = 2621808 / 102

LCM(918,2856) = 25704


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 8562/918, 5330/2856

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 8562/918, 5330/2856?

Answer: GCF of Numerators as per given numbers 8562/918, 5330/2856 is

GCF of Numerators i.e. for 8562,5330 is 2

LCM of denominators i.e. for 918,2856 is 25704.

Thus, GCF of Fractions is 2/25704.Finally, GCF of Fractions for 8562/918, 5330/2856 is 2/25704.