GCD of 53, 733, 390, 598 Calculator

Given Input numbers are 53, 733, 390, 598

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 53, 733, 390, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 733, 390, 598 is 1.

Therefore, GCD of numbers 53, 733, 390, 598 is 1

Given Input Data is 53, 733, 390, 598

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

Prime Factorization of 53 is 53

Prime Factorization of 733 is 733

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 598 is 2 x 13 x 23

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(53, 733) = 38849

GCD(53, 733) = ( 53 x 733 ) / 38849

GCD(53, 733) = 38849 / 38849

GCD(53, 733) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 53, 733, 390, 598 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 821, 944, 457
• GCD of 34, 798, 554, 523
• GCD of 46, 511, 986, 559
• GCD of 25, 678, 765, 956
• GCD of 30, 746, 860, 604

1. What is the GCD of 53, 733, 390, 598?

GCD of 53, 733, 390, 598 is 1

2. Where do I get the detailed procedure to find GCD of 53, 733, 390, 598?

You can find a detailed procedure to find GCD of 53, 733, 390, 598 on our page.

3. How to find GCD of 53, 733, 390, 598 on a calculator?

You can find the GCD of 53, 733, 390, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.