Greatest Common Factor of 3303/86, 3495/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3303/86, 3495/394

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 3303/86,3495/394

Given fractions are 3303/86,3495/394

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 3303,3495

Greatest Common Factor of Numerators i.e. GCF of 3303,3495 is 3 .

LCM of Denominators means LCM of 86,394 as per the given fractions.

LCM of 86,394 is 16942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3303,3495

GCF of Fractions 3303/86,3495/394 is 3/16942

3 3303, 3495
1101, 1165

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3303,3495 By Matching Biggest Common Factor Method

Greatest Common Factor of 3303,3495 By Matching Biggest Common Factor Method

Factors of 3303

List of positive integer factors of 3303 that divides 3303 without a remainder.

1,3,9,367,1101,3303

Factors of 3495

List of positive integer factors of 3495 that divides 3495 without a remainder.

1,3,5,15,233,699,1165,3495

Greatest Common Factor

We found the factors 3303,3495 . The biggest common factor number is the GCF number.
So the greatest common factor 3303,3495 is 3.

Lets's calculate LCM of 86,394

2 86, 394
43, 197

∴ So the LCM of the given numbers is 2 x 43 x 197 = 16942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16942

Therefore, the GCF of Fractions 3303/86,3495/394 is 3/16942

Least Common Multiple of 86,394 with GCF Formula

Least Common Multiple of 86,394 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 86,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,394) = 2

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

GCF(86,394) x common factors =2 x 1 = 2

LCM(86,394) = ( 86 × 394 ) / 2

LCM(86,394) = 33884 / 2

LCM(86,394) = 16942


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 3303/86, 3495/394

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 3303/86, 3495/394?

Answer: GCF of Numerators as per given numbers 3303/86, 3495/394 is

GCF of Numerators i.e. for 3303,3495 is 3

LCM of denominators i.e. for 86,394 is 16942.

Thus, GCF of Fractions is 3/16942.Finally, GCF of Fractions for 3303/86, 3495/394 is 3/16942.