GCD of 529, 419, 13, 772 Calculator

Given Input numbers are 529, 419, 13, 772

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 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 529, 419, 13, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 419, 13, 772 is 1.

Therefore, GCD of numbers 529, 419, 13, 772 is 1

Given Input Data is 529, 419, 13, 772

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

Prime Factorization of 529 is 23 x 23

Prime Factorization of 419 is 419

Prime Factorization of 13 is 13

Prime Factorization of 772 is 2 x 2 x 193

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, 419) = 221651

GCD(529, 419) = ( 529 x 419 ) / 221651

GCD(529, 419) = 221651 / 221651

GCD(529, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 529, 419, 13, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 331, 44, 170
• GCD of 544, 190, 13, 961
• GCD of 707, 714, 55, 393
• GCD of 349, 656, 40, 153
• GCD of 767, 269, 27, 859

1. What is the GCD of 529, 419, 13, 772?

GCD of 529, 419, 13, 772 is 1

2. Where do I get the detailed procedure to find GCD of 529, 419, 13, 772?

You can find a detailed procedure to find GCD of 529, 419, 13, 772 on our page.

3. How to find GCD of 529, 419, 13, 772 on a calculator?

You can find the GCD of 529, 419, 13, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.