Greatest Common Factor of 3580/728, 6065/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3580/728, 6065/823

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 3580/728,6065/823

Given fractions are 3580/728,6065/823

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 3580,6065

Greatest Common Factor of Numerators i.e. GCF of 3580,6065 is 5 .

LCM of Denominators means LCM of 728,823 as per the given fractions.

LCM of 728,823 is 599144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3580,6065

GCF of Fractions 3580/728,6065/823 is 5/599144

5 3580, 6065
716, 1213

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3580,6065 By Matching Biggest Common Factor Method

Greatest Common Factor of 3580,6065 By Matching Biggest Common Factor Method

Factors of 3580

List of positive integer factors of 3580 that divides 3580 without a remainder.

1,2,4,5,10,20,179,358,716,895,1790,3580

Factors of 6065

List of positive integer factors of 6065 that divides 6065 without a remainder.

1,5,1213,6065

Greatest Common Factor

We found the factors 3580,6065 . The biggest common factor number is the GCF number.
So the greatest common factor 3580,6065 is 5.

Lets's calculate LCM of 728,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 599144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/599144

Therefore, the GCF of Fractions 3580/728,6065/823 is 5/599144

Least Common Multiple of 728,823 with GCF Formula

Least Common Multiple of 728,823 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 728,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,823) = 1

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

GCF(728,823) x common factors =1 x 1 = 1

LCM(728,823) = ( 728 × 823 ) / 1

LCM(728,823) = 599144 / 1

LCM(728,823) = 599144


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 3580/728, 6065/823

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 3580/728, 6065/823?

Answer: GCF of Numerators as per given numbers 3580/728, 6065/823 is

GCF of Numerators i.e. for 3580,6065 is 5

LCM of denominators i.e. for 728,823 is 599144.

Thus, GCF of Fractions is 5/599144.Finally, GCF of Fractions for 3580/728, 6065/823 is 5/599144.