GCD of 585, 729, 697, 513 Calculator

Given Input numbers are 585, 729, 697, 513

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

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

GCD of numbers is the greatest common divisor

So, the GCD (585, 729, 697, 513) = 1.

Given numbers are 585, 729, 697, 513

The list of prime factors of all numbers are

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

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 697 are 17 x 41

Prime factors of 513 are 3 x 3 x 3 x 19

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

Given numbers are 585, 729, 697, 513

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

Apply this formula for all numbers.

Step1:

LCM(585, 729) = 47385

GCD(585, 729) = ( 585 x 729 ) / 47385

= 585 / 729

= 585

Step2:

LCM(9, 697) = 6273

GCD(9, 697) = ( 9 x 697 ) / 6273

= 9 / 697

= 9

Step3:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1

So, Greatest Common Divisor of 585, 729, 697, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 628, 166, 988
• GCD of 758, 266, 740, 200
• GCD of 810, 472, 400, 855
• GCD of 353, 188, 104, 998
• GCD of 308, 144, 991, 221

Given numbers are 585, 729, 697, 513
The greatest common divisor of numbers 585, 729, 697, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 729, 697, 513 is 1.

1. What is the GCD of 585, 729, 697, 513?

GCD of given numbers 585, 729, 697, 513 is 1

2. How to calculate the greatest common divisor of 585, 729, 697, 513?

We can find the highest common divisor of 585, 729, 697, 513 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 585, 729, 697, 513 i.e 1.

3. How can I use the GCD of 585, 729, 697, 513Calculator?

Out the numbers 585, 729, 697, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.