GCD of 724, 608, 589, 474 Calculator

Given Input numbers are 724, 608, 589, 474

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

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 724, 608, 589, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 608, 589, 474 is 1.

Therefore, GCD of numbers 724, 608, 589, 474 is 1

Given Input Data is 724, 608, 589, 474

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 589 is 19 x 31

Prime Factorization of 474 is 2 x 3 x 79

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(724, 608) = 110048

GCD(724, 608) = ( 724 x 608 ) / 110048

GCD(724, 608) = 440192 / 110048

GCD(724, 608) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 589

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

LCM(4, 589) = 2356

GCD(4, 589) = ( 4 x 589 ) / 2356

GCD(4, 589) = 2356 / 2356

GCD(4, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 724, 608, 589, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 803, 303, 326
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• GCD of 233, 791, 400, 270
• GCD of 401, 653, 159, 473

1. What is the GCD of 724, 608, 589, 474?

GCD of 724, 608, 589, 474 is 1

2. Where do I get the detailed procedure to find GCD of 724, 608, 589, 474?

You can find a detailed procedure to find GCD of 724, 608, 589, 474 on our page.

3. How to find GCD of 724, 608, 589, 474 on a calculator?

You can find the GCD of 724, 608, 589, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.