GCD of 764, 650, 529, 582 Calculator

Given Input numbers are 764, 650, 529, 582

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

Divisors of 764

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

1, 2, 4, 191, 382, 764

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 764, 650, 529, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 650, 529, 582 is 1.

Therefore, GCD of numbers 764, 650, 529, 582 is 1

Given Input Data is 764, 650, 529, 582

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 529 is 23 x 23

Prime Factorization of 582 is 2 x 3 x 97

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(764, 650) = 248300

GCD(764, 650) = ( 764 x 650 ) / 248300

GCD(764, 650) = 496600 / 248300

GCD(764, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 529

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

LCM(2, 529) = 1058

GCD(2, 529) = ( 2 x 529 ) / 1058

GCD(2, 529) = 1058 / 1058

GCD(2, 529) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 582

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

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

GCD(1, 582) = 582 / 582

GCD(1, 582) = 1

GCD of 764, 650, 529, 582 is 1

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1. What is the GCD of 764, 650, 529, 582?

GCD of 764, 650, 529, 582 is 1

2. Where do I get the detailed procedure to find GCD of 764, 650, 529, 582?

You can find a detailed procedure to find GCD of 764, 650, 529, 582 on our page.

3. How to find GCD of 764, 650, 529, 582 on a calculator?

You can find the GCD of 764, 650, 529, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.