GCD of 420, 594, 142, 361 Calculator

Given Input numbers are 420, 594, 142, 361

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 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (420, 594, 142, 361) = 1.

Given numbers are 420, 594, 142, 361

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 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 142 are 2 x 71

Prime factors of 361 are 19 x 19

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

Given numbers are 420, 594, 142, 361

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

Apply this formula for all numbers.

Step1:

LCM(420, 594) = 41580

GCD(420, 594) = ( 420 x 594 ) / 41580

= 420 / 594

= 420

Step2:

LCM(6, 142) = 426

GCD(6, 142) = ( 6 x 142 ) / 426

= 6 / 142

= 6

Step3:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2

So, Greatest Common Divisor of 420, 594, 142, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 775, 650, 644
• GCD of 472, 166, 921, 437
• GCD of 343, 967, 356, 281
• GCD of 600, 932, 812, 763
• GCD of 332, 928, 323, 755

Given numbers are 420, 594, 142, 361
The greatest common divisor of numbers 420, 594, 142, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 594, 142, 361 is 1.

1. What is the GCD of 420, 594, 142, 361?

GCD of given numbers 420, 594, 142, 361 is 1

2. How to calculate the greatest common divisor of 420, 594, 142, 361?

We can find the highest common divisor of 420, 594, 142, 361 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, 594, 142, 361 i.e 1.

3. How can I use the GCD of 420, 594, 142, 361Calculator?

Out the numbers 420, 594, 142, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.