GCD of 420, 792, 422, 567 Calculator

Given Input numbers are 420, 792, 422, 567

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

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (420, 792, 422, 567) = 1.

Given numbers are 420, 792, 422, 567

The list of prime factors of all numbers are

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

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 422 are 2 x 211

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

Given numbers are 420, 792, 422, 567

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

Apply this formula for all numbers.

Step1:

LCM(420, 792) = 27720

GCD(420, 792) = ( 420 x 792 ) / 27720

= 420 / 792

= 420

Step2:

LCM(12, 422) = 2532

GCD(12, 422) = ( 12 x 422 ) / 2532

= 12 / 422

= 12

Step3:

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

= 2 / 567

= 2

So, Greatest Common Divisor of 420, 792, 422, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 976, 160, 794
• GCD of 806, 954, 408, 591
• GCD of 645, 447, 376, 932
• GCD of 174, 885, 145, 431
• GCD of 220, 640, 531, 854

Given numbers are 420, 792, 422, 567
The greatest common divisor of numbers 420, 792, 422, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 792, 422, 567 is 1.

1. What is the GCD of 420, 792, 422, 567?

GCD of given numbers 420, 792, 422, 567 is 1

2. How to calculate the greatest common divisor of 420, 792, 422, 567?

We can find the highest common divisor of 420, 792, 422, 567 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 420, 792, 422, 567 i.e 1.

3. How can I use the GCD of 420, 792, 422, 567Calculator?

Out the numbers 420, 792, 422, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.