GCD of 420, 558, 729, 367 Calculator

Given Input numbers are 420, 558, 729, 367

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 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

GCD of numbers is the greatest common divisor

So, the GCD (420, 558, 729, 367) = 1.

Given numbers are 420, 558, 729, 367

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 558 are 2 x 3 x 3 x 31

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 367 are 367

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

Given numbers are 420, 558, 729, 367

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

Apply this formula for all numbers.

Step1:

LCM(420, 558) = 39060

GCD(420, 558) = ( 420 x 558 ) / 39060

= 420 / 558

= 420

Step2:

LCM(6, 729) = 1458

GCD(6, 729) = ( 6 x 729 ) / 1458

= 6 / 729

= 6

Step3:

LCM(3, 367) = 1101

GCD(3, 367) = ( 3 x 367 ) / 1101

= 3 / 367

= 3

So, Greatest Common Divisor of 420, 558, 729, 367 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 454, 567, 649
• GCD of 514, 180, 758, 680
• GCD of 206, 585, 761, 350
• GCD of 142, 463, 213, 102
• GCD of 349, 125, 352, 644

Given numbers are 420, 558, 729, 367
The greatest common divisor of numbers 420, 558, 729, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 558, 729, 367 is 1.

1. What is the GCD of 420, 558, 729, 367?

GCD of given numbers 420, 558, 729, 367 is 1

2. How to calculate the greatest common divisor of 420, 558, 729, 367?

We can find the highest common divisor of 420, 558, 729, 367 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, 558, 729, 367 i.e 1.

3. How can I use the GCD of 420, 558, 729, 367Calculator?

Out the numbers 420, 558, 729, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.