GCD of 591, 704, 13, 421 Calculator

Given Input numbers are 591, 704, 13, 421

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

Divisors of 591

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

1, 3, 197, 591

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 591, 704, 13, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 704, 13, 421 is 1.

Therefore, GCD of numbers 591, 704, 13, 421 is 1

Given Input Data is 591, 704, 13, 421

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

Prime Factorization of 591 is 3 x 197

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 13 is 13

Prime Factorization of 421 is 421

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(591, 704) = 416064

GCD(591, 704) = ( 591 x 704 ) / 416064

GCD(591, 704) = 416064 / 416064

GCD(591, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 591, 704, 13, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 291, 44, 738
• GCD of 994, 596, 82, 494
• GCD of 237, 455, 85, 420
• GCD of 215, 302, 29, 987
• GCD of 957, 151, 40, 971

1. What is the GCD of 591, 704, 13, 421?

GCD of 591, 704, 13, 421 is 1

2. Where do I get the detailed procedure to find GCD of 591, 704, 13, 421?

You can find a detailed procedure to find GCD of 591, 704, 13, 421 on our page.

3. How to find GCD of 591, 704, 13, 421 on a calculator?

You can find the GCD of 591, 704, 13, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.