Greatest Common Factor of 3386/29, 3332/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3386/29, 3332/445

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 3386/29,3332/445

Given fractions are 3386/29,3332/445

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 3386,3332

Greatest Common Factor of Numerators i.e. GCF of 3386,3332 is 2 .

LCM of Denominators means LCM of 29,445 as per the given fractions.

LCM of 29,445 is 12905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3386,3332

GCF of Fractions 3386/29,3332/445 is 2/12905

2 3386, 3332
1693, 1666

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3386,3332 By Matching Biggest Common Factor Method

Greatest Common Factor of 3386,3332 By Matching Biggest Common Factor Method

Factors of 3386

List of positive integer factors of 3386 that divides 3386 without a remainder.

1,2,1693,3386

Factors of 3332

List of positive integer factors of 3332 that divides 3332 without a remainder.

1,2,4,7,14,17,28,34,49,68,98,119,196,238,476,833,1666,3332

Greatest Common Factor

We found the factors 3386,3332 . The biggest common factor number is the GCF number.
So the greatest common factor 3386,3332 is 2.

Lets's calculate LCM of 29,445

Given numbers has no common factors except 1. So, there LCM is their product i.e 12905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12905

Therefore, the GCF of Fractions 3386/29,3332/445 is 2/12905

Least Common Multiple of 29,445 with GCF Formula

Least Common Multiple of 29,445 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 29,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,445) = 1

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

GCF(29,445) x common factors =1 x 1 = 1

LCM(29,445) = ( 29 × 445 ) / 1

LCM(29,445) = 12905 / 1

LCM(29,445) = 12905


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 3386/29, 3332/445

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 3386/29, 3332/445?

Answer: GCF of Numerators as per given numbers 3386/29, 3332/445 is

GCF of Numerators i.e. for 3386,3332 is 2

LCM of denominators i.e. for 29,445 is 12905.

Thus, GCF of Fractions is 2/12905.Finally, GCF of Fractions for 3386/29, 3332/445 is 2/12905.