GCD of 361, 971, 73, 855 Calculator

Given Input numbers are 361, 971, 73, 855

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 361, 971, 73, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 971, 73, 855 is 1.

Therefore, GCD of numbers 361, 971, 73, 855 is 1

Given Input Data is 361, 971, 73, 855

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 971 is 971

Prime Factorization of 73 is 73

Prime Factorization of 855 is 3 x 3 x 5 x 19

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, 971) = 350531

GCD(361, 971) = ( 361 x 971 ) / 350531

GCD(361, 971) = 350531 / 350531

GCD(361, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 361, 971, 73, 855 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 754, 47, 294
• GCD of 612, 924, 23, 838
• GCD of 195, 837, 17, 646
• GCD of 360, 572, 41, 893
• GCD of 746, 735, 88, 552

1. What is the GCD of 361, 971, 73, 855?

GCD of 361, 971, 73, 855 is 1

2. Where do I get the detailed procedure to find GCD of 361, 971, 73, 855?

You can find a detailed procedure to find GCD of 361, 971, 73, 855 on our page.

3. How to find GCD of 361, 971, 73, 855 on a calculator?

You can find the GCD of 361, 971, 73, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.