GCD of 629, 259, 260, 529 Calculator

Given Input numbers are 629, 259, 260, 529

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

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 529

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

1, 23, 529

Greatest Common Divisior

We found the divisors of 629, 259, 260, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 259, 260, 529 is 1.

Therefore, GCD of numbers 629, 259, 260, 529 is 1

Given Input Data is 629, 259, 260, 529

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 259 is 7 x 37

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 529 is 23 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(629, 259) = 4403

GCD(629, 259) = ( 629 x 259 ) / 4403

GCD(629, 259) = 162911 / 4403

GCD(629, 259) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 260

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

LCM(37, 260) = 9620

GCD(37, 260) = ( 37 x 260 ) / 9620

GCD(37, 260) = 9620 / 9620

GCD(37, 260) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 629, 259, 260, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 901, 718, 474
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• GCD of 817, 690, 355, 642
• GCD of 599, 131, 768, 429
• GCD of 452, 299, 463, 530

1. What is the GCD of 629, 259, 260, 529?

GCD of 629, 259, 260, 529 is 1

2. Where do I get the detailed procedure to find GCD of 629, 259, 260, 529?

You can find a detailed procedure to find GCD of 629, 259, 260, 529 on our page.

3. How to find GCD of 629, 259, 260, 529 on a calculator?

You can find the GCD of 629, 259, 260, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.