GCD of 589, 316, 537, 542 Calculator

Given Input numbers are 589, 316, 537, 542

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

Divisors of 589

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

1, 19, 31, 589

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 589, 316, 537, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 316, 537, 542 is 1.

Therefore, GCD of numbers 589, 316, 537, 542 is 1

Given Input Data is 589, 316, 537, 542

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 537 is 3 x 179

Prime Factorization of 542 is 2 x 271

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(589, 316) = 186124

GCD(589, 316) = ( 589 x 316 ) / 186124

GCD(589, 316) = 186124 / 186124

GCD(589, 316) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 589, 316, 537, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 464, 545, 270
• GCD of 502, 179, 661, 304
• GCD of 284, 554, 163, 852
• GCD of 976, 830, 129, 535
• GCD of 833, 834, 540, 109

1. What is the GCD of 589, 316, 537, 542?

GCD of 589, 316, 537, 542 is 1

2. Where do I get the detailed procedure to find GCD of 589, 316, 537, 542?

You can find a detailed procedure to find GCD of 589, 316, 537, 542 on our page.

3. How to find GCD of 589, 316, 537, 542 on a calculator?

You can find the GCD of 589, 316, 537, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.