GCD of 460, 852, 21, 893 Calculator

Given Input numbers are 460, 852, 21, 893

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 460, 852, 21, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 852, 21, 893 is 1.

Therefore, GCD of numbers 460, 852, 21, 893 is 1

Given Input Data is 460, 852, 21, 893

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 852 is 2 x 2 x 3 x 71

Prime Factorization of 21 is 3 x 7

Prime Factorization of 893 is 19 x 47

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, 852) = 97980

GCD(460, 852) = ( 460 x 852 ) / 97980

GCD(460, 852) = 391920 / 97980

GCD(460, 852) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 460, 852, 21, 893 is 1

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1. What is the GCD of 460, 852, 21, 893?

GCD of 460, 852, 21, 893 is 1

2. Where do I get the detailed procedure to find GCD of 460, 852, 21, 893?

You can find a detailed procedure to find GCD of 460, 852, 21, 893 on our page.

3. How to find GCD of 460, 852, 21, 893 on a calculator?

You can find the GCD of 460, 852, 21, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.