GCD of 180, 426, 189, 359 Calculator

Given Input numbers are 180, 426, 189, 359

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 180, 426, 189, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 426, 189, 359 is 1.

Therefore, GCD of numbers 180, 426, 189, 359 is 1

Given Input Data is 180, 426, 189, 359

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 426 is 2 x 3 x 71

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 359 is 359

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, 426) = 12780

GCD(180, 426) = ( 180 x 426 ) / 12780

GCD(180, 426) = 76680 / 12780

GCD(180, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 189

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

LCM(6, 189) = 378

GCD(6, 189) = ( 6 x 189 ) / 378

GCD(6, 189) = 1134 / 378

GCD(6, 189) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 359

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

LCM(3, 359) = 1077

GCD(3, 359) = ( 3 x 359 ) / 1077

GCD(3, 359) = 1077 / 1077

GCD(3, 359) = 1

GCD of 180, 426, 189, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 888, 432, 596
• GCD of 694, 261, 291, 978
• GCD of 745, 765, 317, 861
• GCD of 158, 255, 276, 475
• GCD of 775, 522, 274, 535

1. What is the GCD of 180, 426, 189, 359?

GCD of 180, 426, 189, 359 is 1

2. Where do I get the detailed procedure to find GCD of 180, 426, 189, 359?

You can find a detailed procedure to find GCD of 180, 426, 189, 359 on our page.

3. How to find GCD of 180, 426, 189, 359 on a calculator?

You can find the GCD of 180, 426, 189, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.