Greatest Common Factor of 7260/59, 3255/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7260/59, 3255/501

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 7260/59,3255/501

Given fractions are 7260/59,3255/501

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 7260,3255

Greatest Common Factor of Numerators i.e. GCF of 7260,3255 is 15 .

LCM of Denominators means LCM of 59,501 as per the given fractions.

LCM of 59,501 is 29559 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7260,3255

GCF of Fractions 7260/59,3255/501 is 15/29559

3 7260, 3255
5 2420, 1085
484, 217

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 7260,3255 By Matching Biggest Common Factor Method

Greatest Common Factor of 7260,3255 By Matching Biggest Common Factor Method

Factors of 7260

List of positive integer factors of 7260 that divides 7260 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,121,132,165,220,242,330,363,484,605,660,726,1210,1452,1815,2420,3630,7260

Factors of 3255

List of positive integer factors of 3255 that divides 3255 without a remainder.

1,3,5,7,15,21,31,35,93,105,155,217,465,651,1085,3255

Greatest Common Factor

We found the factors 7260,3255 . The biggest common factor number is the GCF number.
So the greatest common factor 7260,3255 is 15.

Lets's calculate LCM of 59,501

Given numbers has no common factors except 1. So, there LCM is their product i.e 29559

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/29559

Therefore, the GCF of Fractions 7260/59,3255/501 is 15/29559

Least Common Multiple of 59,501 with GCF Formula

Least Common Multiple of 59,501 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 59,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,501) = 1

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

GCF(59,501) x common factors =1 x 1 = 1

LCM(59,501) = ( 59 × 501 ) / 1

LCM(59,501) = 29559 / 1

LCM(59,501) = 29559


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 7260/59, 3255/501

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 7260/59, 3255/501?

Answer: GCF of Numerators as per given numbers 7260/59, 3255/501 is

GCF of Numerators i.e. for 7260,3255 is 15

LCM of denominators i.e. for 59,501 is 29559.

Thus, GCF of Fractions is 15/29559.Finally, GCF of Fractions for 7260/59, 3255/501 is 15/29559.