GCD of 916, 804, 764, 589 Calculator

Given Input numbers are 916, 804, 764, 589

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 589

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

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 916, 804, 764, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 804, 764, 589 is 1.

Therefore, GCD of numbers 916, 804, 764, 589 is 1

Given Input Data is 916, 804, 764, 589

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 589 is 19 x 31

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(916, 804) = 184116

GCD(916, 804) = ( 916 x 804 ) / 184116

GCD(916, 804) = 736464 / 184116

GCD(916, 804) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 764

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

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

GCD(4, 764) = 3056 / 764

GCD(4, 764) = 4

Step3:

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

GCD of 916, 804, 764, 589 is 1

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1. What is the GCD of 916, 804, 764, 589?

GCD of 916, 804, 764, 589 is 1

2. Where do I get the detailed procedure to find GCD of 916, 804, 764, 589?

You can find a detailed procedure to find GCD of 916, 804, 764, 589 on our page.

3. How to find GCD of 916, 804, 764, 589 on a calculator?

You can find the GCD of 916, 804, 764, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.