Greatest Common Factor of 2592/743, 9260/8109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2592/743, 9260/8109

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 2592/743,9260/8109

Given fractions are 2592/743,9260/8109

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 2592,9260

Greatest Common Factor of Numerators i.e. GCF of 2592,9260 is 4 .

LCM of Denominators means LCM of 743,8109 as per the given fractions.

LCM of 743,8109 is 6024987 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2592,9260

GCF of Fractions 2592/743,9260/8109 is 4/6024987

2 2592, 9260
2 1296, 4630
648, 2315

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

Greatest Common Factor of 2592,9260 By Matching Biggest Common Factor Method

Greatest Common Factor of 2592,9260 By Matching Biggest Common Factor Method

Factors of 2592

List of positive integer factors of 2592 that divides 2592 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,288,324,432,648,864,1296,2592

Factors of 9260

List of positive integer factors of 9260 that divides 9260 without a remainder.

1,2,4,5,10,20,463,926,1852,2315,4630,9260

Greatest Common Factor

We found the factors 2592,9260 . The biggest common factor number is the GCF number.
So the greatest common factor 2592,9260 is 4.

Lets's calculate LCM of 743,8109

Given numbers has no common factors except 1. So, there LCM is their product i.e 6024987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6024987

Therefore, the GCF of Fractions 2592/743,9260/8109 is 4/6024987

Least Common Multiple of 743,8109 with GCF Formula

Least Common Multiple of 743,8109 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 743,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,8109) = 1

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

GCF(743,8109) x common factors =1 x 1 = 1

LCM(743,8109) = ( 743 × 8109 ) / 1

LCM(743,8109) = 6024987 / 1

LCM(743,8109) = 6024987


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 2592/743, 9260/8109

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 2592/743, 9260/8109?

Answer: GCF of Numerators as per given numbers 2592/743, 9260/8109 is

GCF of Numerators i.e. for 2592,9260 is 4

LCM of denominators i.e. for 743,8109 is 6024987.

Thus, GCF of Fractions is 4/6024987.Finally, GCF of Fractions for 2592/743, 9260/8109 is 4/6024987.