GCD of 180, 605, 71, 301 Calculator

Given Input numbers are 180, 605, 71, 301

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 301

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

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 180, 605, 71, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 605, 71, 301 is 1.

Therefore, GCD of numbers 180, 605, 71, 301 is 1

Given Input Data is 180, 605, 71, 301

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 71 is 71

Prime Factorization of 301 is 7 x 43

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(180, 605) = 21780

GCD(180, 605) = ( 180 x 605 ) / 21780

GCD(180, 605) = 108900 / 21780

GCD(180, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 71

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

LCM(5, 71) = 355

GCD(5, 71) = ( 5 x 71 ) / 355

GCD(5, 71) = 355 / 355

GCD(5, 71) = 1

Step3:

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

GCD of 180, 605, 71, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 160, 86, 584
• GCD of 472, 339, 88, 310
• GCD of 385, 216, 60, 961
• GCD of 492, 991, 39, 189
• GCD of 268, 608, 52, 478

1. What is the GCD of 180, 605, 71, 301?

GCD of 180, 605, 71, 301 is 1

2. Where do I get the detailed procedure to find GCD of 180, 605, 71, 301?

You can find a detailed procedure to find GCD of 180, 605, 71, 301 on our page.

3. How to find GCD of 180, 605, 71, 301 on a calculator?

You can find the GCD of 180, 605, 71, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.