GCD of 65, 460, 364, 808 Calculator

Given Input numbers are 65, 460, 364, 808

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 65, 460, 364, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 460, 364, 808 is 1.

Therefore, GCD of numbers 65, 460, 364, 808 is 1

Given Input Data is 65, 460, 364, 808

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

Prime Factorization of 65 is 5 x 13

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(65, 460) = 5980

GCD(65, 460) = ( 65 x 460 ) / 5980

GCD(65, 460) = 29900 / 5980

GCD(65, 460) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 364

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

LCM(5, 364) = 1820

GCD(5, 364) = ( 5 x 364 ) / 1820

GCD(5, 364) = 1820 / 1820

GCD(5, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 65, 460, 364, 808 is 1

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1. What is the GCD of 65, 460, 364, 808?

GCD of 65, 460, 364, 808 is 1

2. Where do I get the detailed procedure to find GCD of 65, 460, 364, 808?

You can find a detailed procedure to find GCD of 65, 460, 364, 808 on our page.

3. How to find GCD of 65, 460, 364, 808 on a calculator?

You can find the GCD of 65, 460, 364, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.