GCD of 164, 167, 301, 205 Calculator

Given Input numbers are 164, 167, 301, 205

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 164, 167, 301, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 167, 301, 205 is 1.

Therefore, GCD of numbers 164, 167, 301, 205 is 1

Given Input Data is 164, 167, 301, 205

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 167 is 167

Prime Factorization of 301 is 7 x 43

Prime Factorization of 205 is 5 x 41

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(164, 167) = 27388

GCD(164, 167) = ( 164 x 167 ) / 27388

GCD(164, 167) = 27388 / 27388

GCD(164, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 164, 167, 301, 205 is 1

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1. What is the GCD of 164, 167, 301, 205?

GCD of 164, 167, 301, 205 is 1

2. Where do I get the detailed procedure to find GCD of 164, 167, 301, 205?

You can find a detailed procedure to find GCD of 164, 167, 301, 205 on our page.

3. How to find GCD of 164, 167, 301, 205 on a calculator?

You can find the GCD of 164, 167, 301, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.