GCD of 322, 390, 580, 420 Calculator

Given Input numbers are 322, 390, 580, 420

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 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 (322, 390, 580, 420) = 2.

Given numbers are 322, 390, 580, 420

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 390 are 2 x 3 x 5 x 13

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

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

The highest common occurrence is 2¹

Therefore, GCD of 322, 390, 580, 420 is 2.

Given numbers are 322, 390, 580, 420

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

Apply this formula for all numbers.

Step1:

LCM(322, 390) = 62790

GCD(322, 390) = ( 322 x 390 ) / 62790

= 322 / 390

= 322

Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 322, 390, 580, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 325, 714, 307
• GCD of 567, 102, 695, 664
• GCD of 592, 526, 714, 727
• GCD of 987, 925, 739, 929
• GCD of 146, 851, 441, 186

Given numbers are 322, 390, 580, 420
The greatest common divisor of numbers 322, 390, 580, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 390, 580, 420 is 2.

1. What is the GCD of 322, 390, 580, 420?

GCD of given numbers 322, 390, 580, 420 is 2

2. How to calculate the greatest common divisor of 322, 390, 580, 420?

We can find the highest common divisor of 322, 390, 580, 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 322, 390, 580, 420 i.e 2.

3. How can I use the GCD of 322, 390, 580, 420Calculator?

Out the numbers 322, 390, 580, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.