GCD of 580, 205, 407, 420 Calculator

Given Input numbers are 580, 205, 407, 420

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 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (580, 205, 407, 420) = 1.

Given numbers are 580, 205, 407, 420

The list of prime factors of all numbers are

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

Prime factors of 205 are 5 x 41

Prime factors of 407 are 11 x 37

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 580, 205, 407, 420

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

Apply this formula for all numbers.

Step1:

LCM(580, 205) = 23780

GCD(580, 205) = ( 580 x 205 ) / 23780

= 580 / 205

= 580

Step2:

LCM(5, 407) = 2035

GCD(5, 407) = ( 5 x 407 ) / 2035

= 5 / 407

= 5

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 580, 205, 407, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 997, 774, 488
• GCD of 939, 373, 414, 645
• GCD of 574, 180, 839, 606
• GCD of 320, 641, 907, 838
• GCD of 414, 783, 938, 521

Given numbers are 580, 205, 407, 420
The greatest common divisor of numbers 580, 205, 407, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 205, 407, 420 is 1.

1. What is the GCD of 580, 205, 407, 420?

GCD of given numbers 580, 205, 407, 420 is 1

2. How to calculate the greatest common divisor of 580, 205, 407, 420?

We can find the highest common divisor of 580, 205, 407, 420 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, 205, 407, 420 i.e 1.

3. How can I use the GCD of 580, 205, 407, 420Calculator?

Out the numbers 580, 205, 407, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.