GCD of 722, 983, 32, 580 Calculator

Given Input numbers are 722, 983, 32, 580

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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

Greatest Common Divisior

We found the divisors of 722, 983, 32, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 983, 32, 580 is 1.

Therefore, GCD of numbers 722, 983, 32, 580 is 1

Given Input Data is 722, 983, 32, 580

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 983 is 983

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

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(722, 983) = 709726

GCD(722, 983) = ( 722 x 983 ) / 709726

GCD(722, 983) = 709726 / 709726

GCD(722, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 722, 983, 32, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 150, 29, 794
• GCD of 303, 581, 44, 528
• GCD of 980, 556, 88, 672
• GCD of 916, 648, 95, 863
• GCD of 449, 332, 73, 812

1. What is the GCD of 722, 983, 32, 580?

GCD of 722, 983, 32, 580 is 1

2. Where do I get the detailed procedure to find GCD of 722, 983, 32, 580?

You can find a detailed procedure to find GCD of 722, 983, 32, 580 on our page.

3. How to find GCD of 722, 983, 32, 580 on a calculator?

You can find the GCD of 722, 983, 32, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.