Greatest Common Factor of 3308/438, 3286/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3308/438, 3286/656

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 3308/438,3286/656

Given fractions are 3308/438,3286/656

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 3308,3286

Greatest Common Factor of Numerators i.e. GCF of 3308,3286 is 2 .

LCM of Denominators means LCM of 438,656 as per the given fractions.

LCM of 438,656 is 143664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3308,3286

GCF of Fractions 3308/438,3286/656 is 2/143664

2 3308, 3286
1654, 1643

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

Greatest Common Factor of 3308,3286 By Matching Biggest Common Factor Method

Greatest Common Factor of 3308,3286 By Matching Biggest Common Factor Method

Factors of 3308

List of positive integer factors of 3308 that divides 3308 without a remainder.

1,2,4,827,1654,3308

Factors of 3286

List of positive integer factors of 3286 that divides 3286 without a remainder.

1,2,31,53,62,106,1643,3286

Greatest Common Factor

We found the factors 3308,3286 . The biggest common factor number is the GCF number.
So the greatest common factor 3308,3286 is 2.

Lets's calculate LCM of 438,656

2 438, 656
219, 328

∴ So the LCM of the given numbers is 2 x 219 x 328 = 143664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143664

Therefore, the GCF of Fractions 3308/438,3286/656 is 2/143664

Least Common Multiple of 438,656 with GCF Formula

Least Common Multiple of 438,656 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 438,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,656) = 2

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

GCF(438,656) x common factors =2 x 1 = 2

LCM(438,656) = ( 438 × 656 ) / 2

LCM(438,656) = 287328 / 2

LCM(438,656) = 143664


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 3308/438, 3286/656

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 3308/438, 3286/656?

Answer: GCF of Numerators as per given numbers 3308/438, 3286/656 is

GCF of Numerators i.e. for 3308,3286 is 2

LCM of denominators i.e. for 438,656 is 143664.

Thus, GCF of Fractions is 2/143664.Finally, GCF of Fractions for 3308/438, 3286/656 is 2/143664.