Greatest Common Factor of 3195/208, 8265/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3195/208, 8265/774

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 3195/208,8265/774

Given fractions are 3195/208,8265/774

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 3195,8265

Greatest Common Factor of Numerators i.e. GCF of 3195,8265 is 15 .

LCM of Denominators means LCM of 208,774 as per the given fractions.

LCM of 208,774 is 80496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3195,8265

GCF of Fractions 3195/208,8265/774 is 15/80496

3 3195, 8265
5 1065, 2755
213, 551

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

Greatest Common Factor of 3195,8265 By Matching Biggest Common Factor Method

Greatest Common Factor of 3195,8265 By Matching Biggest Common Factor Method

Factors of 3195

List of positive integer factors of 3195 that divides 3195 without a remainder.

1,3,5,9,15,45,71,213,355,639,1065,3195

Factors of 8265

List of positive integer factors of 8265 that divides 8265 without a remainder.

1,3,5,15,19,29,57,87,95,145,285,435,551,1653,2755,8265

Greatest Common Factor

We found the factors 3195,8265 . The biggest common factor number is the GCF number.
So the greatest common factor 3195,8265 is 15.

Lets's calculate LCM of 208,774

2 208, 774
104, 387

∴ So the LCM of the given numbers is 2 x 104 x 387 = 80496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/80496

Therefore, the GCF of Fractions 3195/208,8265/774 is 15/80496

Least Common Multiple of 208,774 with GCF Formula

Least Common Multiple of 208,774 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 208,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,774) = 2

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

GCF(208,774) x common factors =2 x 1 = 2

LCM(208,774) = ( 208 × 774 ) / 2

LCM(208,774) = 160992 / 2

LCM(208,774) = 80496


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 3195/208, 8265/774

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 3195/208, 8265/774?

Answer: GCF of Numerators as per given numbers 3195/208, 8265/774 is

GCF of Numerators i.e. for 3195,8265 is 15

LCM of denominators i.e. for 208,774 is 80496.

Thus, GCF of Fractions is 15/80496.Finally, GCF of Fractions for 3195/208, 8265/774 is 15/80496.