GCD of 37, 758, 589, 856 Calculator

Given Input numbers are 37, 758, 589, 856

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 589

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

1, 19, 31, 589

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 37, 758, 589, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 758, 589, 856 is 1.

Therefore, GCD of numbers 37, 758, 589, 856 is 1

Given Input Data is 37, 758, 589, 856

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

Prime Factorization of 37 is 37

Prime Factorization of 758 is 2 x 379

Prime Factorization of 589 is 19 x 31

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(37, 758) = 28046

GCD(37, 758) = ( 37 x 758 ) / 28046

GCD(37, 758) = 28046 / 28046

GCD(37, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 37, 758, 589, 856 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 478, 988, 201
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• GCD of 46, 991, 804, 303

1. What is the GCD of 37, 758, 589, 856?

GCD of 37, 758, 589, 856 is 1

2. Where do I get the detailed procedure to find GCD of 37, 758, 589, 856?

You can find a detailed procedure to find GCD of 37, 758, 589, 856 on our page.

3. How to find GCD of 37, 758, 589, 856 on a calculator?

You can find the GCD of 37, 758, 589, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.