Greatest Common Factor of 3209/213, 4616/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3209/213, 4616/568

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 3209/213,4616/568

Given fractions are 3209/213,4616/568

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 3209,4616

Greatest Common Factor of Numerators i.e. GCF of 3209,4616 is 1 .

LCM of Denominators means LCM of 213,568 as per the given fractions.

LCM of 213,568 is 1704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3209,4616

GCF of Fractions 3209/213,4616/568 is 1/1704

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

Greatest Common Factor of 3209,4616 By Matching Biggest Common Factor Method

Greatest Common Factor of 3209,4616 By Matching Biggest Common Factor Method

Factors of 3209

List of positive integer factors of 3209 that divides 3209 without a remainder.

1,3209

Factors of 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1,2,4,8,577,1154,2308,4616

Greatest Common Factor

We found the factors 3209,4616 . The biggest common factor number is the GCF number.
So the greatest common factor 3209,4616 is 1.

Lets's calculate LCM of 213,568

71 213, 568
3, 8

∴ So the LCM of the given numbers is 71 x 3 x 8 = 1704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1704

Therefore, the GCF of Fractions 3209/213,4616/568 is 1/1704

Least Common Multiple of 213,568 with GCF Formula

Least Common Multiple of 213,568 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 213,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,568) = 71

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

GCF(213,568) x common factors =71 x 1 = 71

LCM(213,568) = ( 213 × 568 ) / 71

LCM(213,568) = 120984 / 71

LCM(213,568) = 1704


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 3209/213, 4616/568

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 3209/213, 4616/568?

Answer: GCF of Numerators as per given numbers 3209/213, 4616/568 is

GCF of Numerators i.e. for 3209,4616 is 1

LCM of denominators i.e. for 213,568 is 1704.

Thus, GCF of Fractions is 1/1704.Finally, GCF of Fractions for 3209/213, 4616/568 is 1/1704.