GCD of 585, 861, 645, 720 Calculator

Given Input numbers are 585, 861, 645, 720

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 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (585, 861, 645, 720) = 3.

Given numbers are 585, 861, 645, 720

The list of prime factors of all numbers are

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

Prime factors of 861 are 3 x 7 x 41

Prime factors of 645 are 3 x 5 x 43

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 585, 861, 645, 720 is 3.

Given numbers are 585, 861, 645, 720

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

Apply this formula for all numbers.

Step1:

LCM(585, 861) = 167895

GCD(585, 861) = ( 585 x 861 ) / 167895

= 585 / 861

= 585

Step2:

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

= 3 / 645

= 3

Step3:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

So, Greatest Common Divisor of 585, 861, 645, 720 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 572, 666, 921
• GCD of 978, 914, 634, 535
• GCD of 641, 426, 773, 418
• GCD of 415, 768, 106, 313
• GCD of 972, 452, 477, 664

Given numbers are 585, 861, 645, 720
The greatest common divisor of numbers 585, 861, 645, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 861, 645, 720 is 3.

1. What is the GCD of 585, 861, 645, 720?

GCD of given numbers 585, 861, 645, 720 is 3

2. How to calculate the greatest common divisor of 585, 861, 645, 720?

We can find the highest common divisor of 585, 861, 645, 720 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, 861, 645, 720 i.e 3.

3. How can I use the GCD of 585, 861, 645, 720Calculator?

Out the numbers 585, 861, 645, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.