GCD of 580, 486, 525, 825 Calculator

Given Input numbers are 580, 486, 525, 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 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

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, 486, 525, 825) = 1.

Given numbers are 580, 486, 525, 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 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 525 are 3 x 5 x 5 x 7

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, 486, 525, 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, 486) = 140940

GCD(580, 486) = ( 580 x 486 ) / 140940

= 580 / 486

= 580

Step2:

LCM(2, 525) = 1050

GCD(2, 525) = ( 2 x 525 ) / 1050

= 2 / 525

= 2

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 580, 486, 525, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 876, 522, 710
• GCD of 451, 229, 115, 913
• GCD of 432, 511, 260, 904
• GCD of 238, 371, 342, 165
• GCD of 176, 850, 631, 614

Given numbers are 580, 486, 525, 825
The greatest common divisor of numbers 580, 486, 525, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 486, 525, 825 is 1.

1. What is the GCD of 580, 486, 525, 825?

GCD of given numbers 580, 486, 525, 825 is 1

2. How to calculate the greatest common divisor of 580, 486, 525, 825?

We can find the highest common divisor of 580, 486, 525, 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, 486, 525, 825 i.e 1.

3. How can I use the GCD of 580, 486, 525, 825Calculator?

Out the numbers 580, 486, 525, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.