GCD of 529, 717, 65, 782 Calculator

Given Input numbers are 529, 717, 65, 782

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

Divisors of 529

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

1, 23, 529

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 529, 717, 65, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 717, 65, 782 is 1.

Therefore, GCD of numbers 529, 717, 65, 782 is 1

Given Input Data is 529, 717, 65, 782

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 717 is 3 x 239

Prime Factorization of 65 is 5 x 13

Prime Factorization of 782 is 2 x 17 x 23

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(529, 717) = 379293

GCD(529, 717) = ( 529 x 717 ) / 379293

GCD(529, 717) = 379293 / 379293

GCD(529, 717) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 529, 717, 65, 782 is 1

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1. What is the GCD of 529, 717, 65, 782?

GCD of 529, 717, 65, 782 is 1

2. Where do I get the detailed procedure to find GCD of 529, 717, 65, 782?

You can find a detailed procedure to find GCD of 529, 717, 65, 782 on our page.

3. How to find GCD of 529, 717, 65, 782 on a calculator?

You can find the GCD of 529, 717, 65, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.