GCD of 361, 532, 180, 851 Calculator

Given Input numbers are 361, 532, 180, 851

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 361, 532, 180, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 532, 180, 851 is 1.

Therefore, GCD of numbers 361, 532, 180, 851 is 1

Given Input Data is 361, 532, 180, 851

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 532 is 2 x 2 x 7 x 19

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

Prime Factorization of 851 is 23 x 37

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(361, 532) = 10108

GCD(361, 532) = ( 361 x 532 ) / 10108

GCD(361, 532) = 192052 / 10108

GCD(361, 532) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 180

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

LCM(19, 180) = 3420

GCD(19, 180) = ( 19 x 180 ) / 3420

GCD(19, 180) = 3420 / 3420

GCD(19, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

GCD of 361, 532, 180, 851 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 442, 412, 450
• GCD of 890, 527, 831, 652
• GCD of 596, 937, 679, 229
• GCD of 618, 925, 266, 558
• GCD of 731, 708, 670, 502

1. What is the GCD of 361, 532, 180, 851?

GCD of 361, 532, 180, 851 is 1

2. Where do I get the detailed procedure to find GCD of 361, 532, 180, 851?

You can find a detailed procedure to find GCD of 361, 532, 180, 851 on our page.

3. How to find GCD of 361, 532, 180, 851 on a calculator?

You can find the GCD of 361, 532, 180, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.