Greatest Common Factor of 6565/39, 9320/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6565/39, 9320/741

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 6565/39,9320/741

Given fractions are 6565/39,9320/741

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 6565,9320

Greatest Common Factor of Numerators i.e. GCF of 6565,9320 is 5 .

LCM of Denominators means LCM of 39,741 as per the given fractions.

LCM of 39,741 is 741 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6565,9320

GCF of Fractions 6565/39,9320/741 is 5/741

5 6565, 9320
1313, 1864

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

Greatest Common Factor of 6565,9320 By Matching Biggest Common Factor Method

Greatest Common Factor of 6565,9320 By Matching Biggest Common Factor Method

Factors of 6565

List of positive integer factors of 6565 that divides 6565 without a remainder.

1,5,13,65,101,505,1313,6565

Factors of 9320

List of positive integer factors of 9320 that divides 9320 without a remainder.

1,2,4,5,8,10,20,40,233,466,932,1165,1864,2330,4660,9320

Greatest Common Factor

We found the factors 6565,9320 . The biggest common factor number is the GCF number.
So the greatest common factor 6565,9320 is 5.

Lets's calculate LCM of 39,741

3 39, 741
13 13, 247
1, 19

∴ So the LCM of the given numbers is 3 x 13 x 1 x 19 = 741

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/741

Therefore, the GCF of Fractions 6565/39,9320/741 is 5/741

Least Common Multiple of 39,741 with GCF Formula

Least Common Multiple of 39,741 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 39,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,741) = 39

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

GCF(39,741) x common factors =39 x 1 = 39

LCM(39,741) = ( 39 × 741 ) / 39

LCM(39,741) = 28899 / 39

LCM(39,741) = 741


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 6565/39, 9320/741

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 6565/39, 9320/741?

Answer: GCF of Numerators as per given numbers 6565/39, 9320/741 is

GCF of Numerators i.e. for 6565,9320 is 5

LCM of denominators i.e. for 39,741 is 741.

Thus, GCF of Fractions is 5/741.Finally, GCF of Fractions for 6565/39, 9320/741 is 5/741.