GCD of 583, 589, 421, 702 Calculator

Given Input numbers are 583, 589, 421, 702

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

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 589

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

1, 19, 31, 589

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 583, 589, 421, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 583, 589, 421, 702 is 1.

Therefore, GCD of numbers 583, 589, 421, 702 is 1

Given Input Data is 583, 589, 421, 702

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

Prime Factorization of 583 is 11 x 53

Prime Factorization of 589 is 19 x 31

Prime Factorization of 421 is 421

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(583, 589) = 343387

GCD(583, 589) = ( 583 x 589 ) / 343387

GCD(583, 589) = 343387 / 343387

GCD(583, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 583, 589, 421, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 155, 777, 118
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• GCD of 113, 150, 354, 526
• GCD of 298, 789, 619, 237
• GCD of 174, 794, 672, 179

1. What is the GCD of 583, 589, 421, 702?

GCD of 583, 589, 421, 702 is 1

2. Where do I get the detailed procedure to find GCD of 583, 589, 421, 702?

You can find a detailed procedure to find GCD of 583, 589, 421, 702 on our page.

3. How to find GCD of 583, 589, 421, 702 on a calculator?

You can find the GCD of 583, 589, 421, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.