GCD of 39, 522, 765, 353 Calculator

Given Input numbers are 39, 522, 765, 353

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 39, 522, 765, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 522, 765, 353 is 1.

Therefore, GCD of numbers 39, 522, 765, 353 is 1

Given Input Data is 39, 522, 765, 353

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 353 is 353

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(39, 522) = 6786

GCD(39, 522) = ( 39 x 522 ) / 6786

GCD(39, 522) = 20358 / 6786

GCD(39, 522) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 765

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

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

GCD(3, 765) = 2295 / 765

GCD(3, 765) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 353

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

LCM(3, 353) = 1059

GCD(3, 353) = ( 3 x 353 ) / 1059

GCD(3, 353) = 1059 / 1059

GCD(3, 353) = 1

GCD of 39, 522, 765, 353 is 1

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• GCD of 15, 580, 547, 852
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1. What is the GCD of 39, 522, 765, 353?

GCD of 39, 522, 765, 353 is 1

2. Where do I get the detailed procedure to find GCD of 39, 522, 765, 353?

You can find a detailed procedure to find GCD of 39, 522, 765, 353 on our page.

3. How to find GCD of 39, 522, 765, 353 on a calculator?

You can find the GCD of 39, 522, 765, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.