GCD of 598, 580, 116, 433 Calculator

Given Input numbers are 598, 580, 116, 433

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

Divisors of 598

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

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 598, 580, 116, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 580, 116, 433 is 1.

Therefore, GCD of numbers 598, 580, 116, 433 is 1

Given Input Data is 598, 580, 116, 433

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 433 is 433

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(598, 580) = 173420

GCD(598, 580) = ( 598 x 580 ) / 173420

GCD(598, 580) = 346840 / 173420

GCD(598, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 433

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

LCM(2, 433) = 866

GCD(2, 433) = ( 2 x 433 ) / 866

GCD(2, 433) = 866 / 866

GCD(2, 433) = 1

GCD of 598, 580, 116, 433 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 833, 334, 395
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• GCD of 925, 345, 871, 555
• GCD of 943, 714, 117, 578
• GCD of 297, 963, 999, 120

1. What is the GCD of 598, 580, 116, 433?

GCD of 598, 580, 116, 433 is 1

2. Where do I get the detailed procedure to find GCD of 598, 580, 116, 433?

You can find a detailed procedure to find GCD of 598, 580, 116, 433 on our page.

3. How to find GCD of 598, 580, 116, 433 on a calculator?

You can find the GCD of 598, 580, 116, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.