GCD of 580, 578, 864, 825 Calculator

Given Input numbers are 580, 578, 864, 825

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (580, 578, 864, 825) = 1.

Given numbers are 580, 578, 864, 825

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 578 are 2 x 17 x 17

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 580, 578, 864, 825

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

Apply this formula for all numbers.

Step1:

LCM(580, 578) = 167620

GCD(580, 578) = ( 580 x 578 ) / 167620

= 580 / 578

= 580

Step2:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 580, 578, 864, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 920, 368, 245
• GCD of 197, 609, 153, 714
• GCD of 647, 363, 947, 396
• GCD of 815, 721, 109, 678
• GCD of 446, 517, 893, 657

Given numbers are 580, 578, 864, 825
The greatest common divisor of numbers 580, 578, 864, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 578, 864, 825 is 1.

1. What is the GCD of 580, 578, 864, 825?

GCD of given numbers 580, 578, 864, 825 is 1

2. How to calculate the greatest common divisor of 580, 578, 864, 825?

We can find the highest common divisor of 580, 578, 864, 825 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 580, 578, 864, 825 i.e 1.

3. How can I use the GCD of 580, 578, 864, 825Calculator?

Out the numbers 580, 578, 864, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.