GCD of 460, 855, 660, 591 Calculator

Given Input numbers are 460, 855, 660, 591

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 460, 855, 660, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 855, 660, 591 is 1.

Therefore, GCD of numbers 460, 855, 660, 591 is 1

Given Input Data is 460, 855, 660, 591

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 591 is 3 x 197

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(460, 855) = 78660

GCD(460, 855) = ( 460 x 855 ) / 78660

GCD(460, 855) = 393300 / 78660

GCD(460, 855) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 660

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

LCM(5, 660) = 660

GCD(5, 660) = ( 5 x 660 ) / 660

GCD(5, 660) = 3300 / 660

GCD(5, 660) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 591

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

LCM(5, 591) = 2955

GCD(5, 591) = ( 5 x 591 ) / 2955

GCD(5, 591) = 2955 / 2955

GCD(5, 591) = 1

GCD of 460, 855, 660, 591 is 1

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1. What is the GCD of 460, 855, 660, 591?

GCD of 460, 855, 660, 591 is 1

2. Where do I get the detailed procedure to find GCD of 460, 855, 660, 591?

You can find a detailed procedure to find GCD of 460, 855, 660, 591 on our page.

3. How to find GCD of 460, 855, 660, 591 on a calculator?

You can find the GCD of 460, 855, 660, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.