GCD of 61, 355, 859, 360 Calculator

Given Input numbers are 61, 355, 859, 360

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 61, 355, 859, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 355, 859, 360 is 1.

Therefore, GCD of numbers 61, 355, 859, 360 is 1

Given Input Data is 61, 355, 859, 360

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

Prime Factorization of 61 is 61

Prime Factorization of 355 is 5 x 71

Prime Factorization of 859 is 859

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(61, 355) = 21655

GCD(61, 355) = ( 61 x 355 ) / 21655

GCD(61, 355) = 21655 / 21655

GCD(61, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 61, 355, 859, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 279, 329, 858
• GCD of 94, 420, 168, 933
• GCD of 38, 826, 503, 154
• GCD of 55, 186, 759, 810
• GCD of 19, 941, 397, 778

1. What is the GCD of 61, 355, 859, 360?

GCD of 61, 355, 859, 360 is 1

2. Where do I get the detailed procedure to find GCD of 61, 355, 859, 360?

You can find a detailed procedure to find GCD of 61, 355, 859, 360 on our page.

3. How to find GCD of 61, 355, 859, 360 on a calculator?

You can find the GCD of 61, 355, 859, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.