Greatest Common Factor of 323/406, 3271/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 323/406, 3271/163

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 323/406,3271/163

Given fractions are 323/406,3271/163

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 323,3271

Greatest Common Factor of Numerators i.e. GCF of 323,3271 is 1 .

LCM of Denominators means LCM of 406,163 as per the given fractions.

LCM of 406,163 is 66178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 323,3271

GCF of Fractions 323/406,3271/163 is 1/66178

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

Greatest Common Factor of 323,3271 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,3271 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 3271

List of positive integer factors of 3271 that divides 3271 without a remainder.

1,3271

Greatest Common Factor

We found the factors 323,3271 . The biggest common factor number is the GCF number.
So the greatest common factor 323,3271 is 1.

Lets's calculate LCM of 406,163

Given numbers has no common factors except 1. So, there LCM is their product i.e 66178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66178

Therefore, the GCF of Fractions 323/406,3271/163 is 1/66178

Least Common Multiple of 406,163 with GCF Formula

Least Common Multiple of 406,163 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 406,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,163) = 1

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

GCF(406,163) x common factors =1 x 1 = 1

LCM(406,163) = ( 406 × 163 ) / 1

LCM(406,163) = 66178 / 1

LCM(406,163) = 66178


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 323/406, 3271/163

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 323/406, 3271/163?

Answer: GCF of Numerators as per given numbers 323/406, 3271/163 is

GCF of Numerators i.e. for 323,3271 is 1

LCM of denominators i.e. for 406,163 is 66178.

Thus, GCF of Fractions is 1/66178.Finally, GCF of Fractions for 323/406, 3271/163 is 1/66178.