Greatest Common Factor of 8032/23, 9540/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8032/23, 9540/542

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 8032/23,9540/542

Given fractions are 8032/23,9540/542

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 8032,9540

Greatest Common Factor of Numerators i.e. GCF of 8032,9540 is 4 .

LCM of Denominators means LCM of 23,542 as per the given fractions.

LCM of 23,542 is 12466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8032,9540

GCF of Fractions 8032/23,9540/542 is 4/12466

2 8032, 9540
2 4016, 4770
2008, 2385

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8032,9540 By Matching Biggest Common Factor Method

Greatest Common Factor of 8032,9540 By Matching Biggest Common Factor Method

Factors of 8032

List of positive integer factors of 8032 that divides 8032 without a remainder.

1,2,4,8,16,32,251,502,1004,2008,4016,8032

Factors of 9540

List of positive integer factors of 9540 that divides 9540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,53,60,90,106,159,180,212,265,318,477,530,636,795,954,1060,1590,1908,2385,3180,4770,9540

Greatest Common Factor

We found the factors 8032,9540 . The biggest common factor number is the GCF number.
So the greatest common factor 8032,9540 is 4.

Lets's calculate LCM of 23,542

Given numbers has no common factors except 1. So, there LCM is their product i.e 12466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12466

Therefore, the GCF of Fractions 8032/23,9540/542 is 4/12466

Least Common Multiple of 23,542 with GCF Formula

Least Common Multiple of 23,542 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 23,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,542) = 1

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

GCF(23,542) x common factors =1 x 1 = 1

LCM(23,542) = ( 23 × 542 ) / 1

LCM(23,542) = 12466 / 1

LCM(23,542) = 12466


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 8032/23, 9540/542

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 8032/23, 9540/542?

Answer: GCF of Numerators as per given numbers 8032/23, 9540/542 is

GCF of Numerators i.e. for 8032,9540 is 4

LCM of denominators i.e. for 23,542 is 12466.

Thus, GCF of Fractions is 4/12466.Finally, GCF of Fractions for 8032/23, 9540/542 is 4/12466.