GCD of 596, 772, 73, 724 Calculator

Given Input numbers are 596, 772, 73, 724

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

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 596, 772, 73, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 772, 73, 724 is 1.

Therefore, GCD of numbers 596, 772, 73, 724 is 1

Given Input Data is 596, 772, 73, 724

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 73 is 73

Prime Factorization of 724 is 2 x 2 x 181

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(596, 772) = 115028

GCD(596, 772) = ( 596 x 772 ) / 115028

GCD(596, 772) = 460112 / 115028

GCD(596, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 73

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

LCM(4, 73) = 292

GCD(4, 73) = ( 4 x 73 ) / 292

GCD(4, 73) = 292 / 292

GCD(4, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 596, 772, 73, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 868, 99, 556
• GCD of 644, 778, 99, 473
• GCD of 289, 160, 43, 890
• GCD of 716, 224, 20, 357
• GCD of 636, 874, 50, 289

1. What is the GCD of 596, 772, 73, 724?

GCD of 596, 772, 73, 724 is 1

2. Where do I get the detailed procedure to find GCD of 596, 772, 73, 724?

You can find a detailed procedure to find GCD of 596, 772, 73, 724 on our page.

3. How to find GCD of 596, 772, 73, 724 on a calculator?

You can find the GCD of 596, 772, 73, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.