GCD of 589, 355, 78, 376 Calculator

Given Input numbers are 589, 355, 78, 376

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 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 589, 355, 78, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 355, 78, 376 is 1.

Therefore, GCD of numbers 589, 355, 78, 376 is 1

Given Input Data is 589, 355, 78, 376

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 355 is 5 x 71

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 376 is 2 x 2 x 2 x 47

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, 355) = 209095

GCD(589, 355) = ( 589 x 355 ) / 209095

GCD(589, 355) = 209095 / 209095

GCD(589, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

GCD of 589, 355, 78, 376 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 188, 38, 456
• GCD of 104, 341, 21, 516
• GCD of 555, 647, 64, 566
• GCD of 515, 565, 35, 832
• GCD of 910, 374, 91, 283

1. What is the GCD of 589, 355, 78, 376?

GCD of 589, 355, 78, 376 is 1

2. Where do I get the detailed procedure to find GCD of 589, 355, 78, 376?

You can find a detailed procedure to find GCD of 589, 355, 78, 376 on our page.

3. How to find GCD of 589, 355, 78, 376 on a calculator?

You can find the GCD of 589, 355, 78, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.