GCD of 580, 409, 864, 428 Calculator

Given Input numbers are 580, 409, 864, 428

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 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (580, 409, 864, 428) = 1.

Given numbers are 580, 409, 864, 428

The list of prime factors of all numbers are

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

Prime factors of 409 are 409

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

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 580, 409, 864, 428

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

Apply this formula for all numbers.

Step1:

LCM(580, 409) = 237220

GCD(580, 409) = ( 580 x 409 ) / 237220

= 580 / 409

= 580

Step2:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 580, 409, 864, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 313, 571, 961
• GCD of 915, 213, 981, 661
• GCD of 554, 796, 104, 150
• GCD of 615, 841, 369, 528
• GCD of 684, 418, 566, 155

Given numbers are 580, 409, 864, 428
The greatest common divisor of numbers 580, 409, 864, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 409, 864, 428 is 1.

1. What is the GCD of 580, 409, 864, 428?

GCD of given numbers 580, 409, 864, 428 is 1

2. How to calculate the greatest common divisor of 580, 409, 864, 428?

We can find the highest common divisor of 580, 409, 864, 428 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, 409, 864, 428 i.e 1.

3. How can I use the GCD of 580, 409, 864, 428Calculator?

Out the numbers 580, 409, 864, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.