GCD of 507, 626, 728, 585 Calculator

Given Input numbers are 507, 626, 728, 585

In the factoring method, we have to find the divisors of all numbers

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (507, 626, 728, 585) = 1.

Given numbers are 507, 626, 728, 585

The list of prime factors of all numbers are

Prime factors of 507 are 3 x 13 x 13

Prime factors of 626 are 2 x 313

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 585 are 3 x 3 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 507, 626, 728, 585

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(507, 626) = 317382

GCD(507, 626) = ( 507 x 626 ) / 317382

= 507 / 626

= 507

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

So, Greatest Common Divisor of 507, 626, 728, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 766, 315, 265
• GCD of 367, 479, 742, 787
• GCD of 419, 825, 591, 827
• GCD of 994, 914, 628, 598
• GCD of 851, 731, 132, 519

Given numbers are 507, 626, 728, 585
The greatest common divisor of numbers 507, 626, 728, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 626, 728, 585 is 1.

1. What is the GCD of 507, 626, 728, 585?

GCD of given numbers 507, 626, 728, 585 is 1

2. How to calculate the greatest common divisor of 507, 626, 728, 585?

We can find the highest common divisor of 507, 626, 728, 585 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 507, 626, 728, 585 i.e 1.

3. How can I use the GCD of 507, 626, 728, 585Calculator?

Out the numbers 507, 626, 728, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.