GCD of 390, 446, 532, 517 Calculator

Given Input numbers are 390, 446, 532, 517

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 390, 446, 532, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 446, 532, 517 is 1.

Therefore, GCD of numbers 390, 446, 532, 517 is 1

Given Input Data is 390, 446, 532, 517

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 446 is 2 x 223

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 517 is 11 x 47

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(390, 446) = 86970

GCD(390, 446) = ( 390 x 446 ) / 86970

GCD(390, 446) = 173940 / 86970

GCD(390, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 517

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

LCM(2, 517) = 1034

GCD(2, 517) = ( 2 x 517 ) / 1034

GCD(2, 517) = 1034 / 1034

GCD(2, 517) = 1

GCD of 390, 446, 532, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 981, 960, 581
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• GCD of 766, 359, 576, 497

1. What is the GCD of 390, 446, 532, 517?

GCD of 390, 446, 532, 517 is 1

2. Where do I get the detailed procedure to find GCD of 390, 446, 532, 517?

You can find a detailed procedure to find GCD of 390, 446, 532, 517 on our page.

3. How to find GCD of 390, 446, 532, 517 on a calculator?

You can find the GCD of 390, 446, 532, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.