Greatest Common Factor of 3482/594, 3305/3484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3482/594, 3305/3484

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 3482/594,3305/3484

Given fractions are 3482/594,3305/3484

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 3482,3305

Greatest Common Factor of Numerators i.e. GCF of 3482,3305 is 1 .

LCM of Denominators means LCM of 594,3484 as per the given fractions.

LCM of 594,3484 is 1034748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3482,3305

GCF of Fractions 3482/594,3305/3484 is 1/1034748

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3482,3305 By Matching Biggest Common Factor Method

Greatest Common Factor of 3482,3305 By Matching Biggest Common Factor Method

Factors of 3482

List of positive integer factors of 3482 that divides 3482 without a remainder.

1,2,1741,3482

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1,5,661,3305

Greatest Common Factor

We found the factors 3482,3305 . The biggest common factor number is the GCF number.
So the greatest common factor 3482,3305 is 1.

Lets's calculate LCM of 594,3484

2 594, 3484
297, 1742

∴ So the LCM of the given numbers is 2 x 297 x 1742 = 1034748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1034748

Therefore, the GCF of Fractions 3482/594,3305/3484 is 1/1034748

Least Common Multiple of 594,3484 with GCF Formula

Least Common Multiple of 594,3484 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 594,3484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,3484) = 2

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

GCF(594,3484) x common factors =2 x 1 = 2

LCM(594,3484) = ( 594 × 3484 ) / 2

LCM(594,3484) = 2069496 / 2

LCM(594,3484) = 1034748


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 3482/594, 3305/3484

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 3482/594, 3305/3484?

Answer: GCF of Numerators as per given numbers 3482/594, 3305/3484 is

GCF of Numerators i.e. for 3482,3305 is 1

LCM of denominators i.e. for 594,3484 is 1034748.

Thus, GCF of Fractions is 1/1034748.Finally, GCF of Fractions for 3482/594, 3305/3484 is 1/1034748.