Greatest Common Factor of 3265/864, 7065/9518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3265/864, 7065/9518

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 3265/864,7065/9518

Given fractions are 3265/864,7065/9518

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 3265,7065

Greatest Common Factor of Numerators i.e. GCF of 3265,7065 is 5 .

LCM of Denominators means LCM of 864,9518 as per the given fractions.

LCM of 864,9518 is 4111776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3265,7065

GCF of Fractions 3265/864,7065/9518 is 5/4111776

5 3265, 7065
653, 1413

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

Greatest Common Factor of 3265,7065 By Matching Biggest Common Factor Method

Greatest Common Factor of 3265,7065 By Matching Biggest Common Factor Method

Factors of 3265

List of positive integer factors of 3265 that divides 3265 without a remainder.

1,5,653,3265

Factors of 7065

List of positive integer factors of 7065 that divides 7065 without a remainder.

1,3,5,9,15,45,157,471,785,1413,2355,7065

Greatest Common Factor

We found the factors 3265,7065 . The biggest common factor number is the GCF number.
So the greatest common factor 3265,7065 is 5.

Lets's calculate LCM of 864,9518

2 864, 9518
432, 4759

∴ So the LCM of the given numbers is 2 x 432 x 4759 = 4111776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4111776

Therefore, the GCF of Fractions 3265/864,7065/9518 is 5/4111776

Least Common Multiple of 864,9518 with GCF Formula

Least Common Multiple of 864,9518 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 864,9518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,9518) = 2

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

GCF(864,9518) x common factors =2 x 1 = 2

LCM(864,9518) = ( 864 × 9518 ) / 2

LCM(864,9518) = 8223552 / 2

LCM(864,9518) = 4111776


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 3265/864, 7065/9518

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 3265/864, 7065/9518?

Answer: GCF of Numerators as per given numbers 3265/864, 7065/9518 is

GCF of Numerators i.e. for 3265,7065 is 5

LCM of denominators i.e. for 864,9518 is 4111776.

Thus, GCF of Fractions is 5/4111776.Finally, GCF of Fractions for 3265/864, 7065/9518 is 5/4111776.