GCD of 420, 216, 406, 273 Calculator

Given Input numbers are 420, 216, 406, 273

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

GCD of numbers is the greatest common divisor

So, the GCD (420, 216, 406, 273) = 1.

Given numbers are 420, 216, 406, 273

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 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 406 are 2 x 7 x 29

Prime factors of 273 are 3 x 7 x 13

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

Given numbers are 420, 216, 406, 273

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

Apply this formula for all numbers.

Step1:

LCM(420, 216) = 7560

GCD(420, 216) = ( 420 x 216 ) / 7560

= 420 / 216

= 420

Step2:

LCM(12, 406) = 2436

GCD(12, 406) = ( 12 x 406 ) / 2436

= 12 / 406

= 12

Step3:

LCM(2, 273) = 546

GCD(2, 273) = ( 2 x 273 ) / 546

= 2 / 273

= 2

So, Greatest Common Divisor of 420, 216, 406, 273 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 147, 793, 960
• GCD of 849, 527, 212, 703
• GCD of 538, 124, 878, 432
• GCD of 673, 322, 843, 721
• GCD of 152, 470, 118, 189

Given numbers are 420, 216, 406, 273
The greatest common divisor of numbers 420, 216, 406, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 216, 406, 273 is 1.

1. What is the GCD of 420, 216, 406, 273?

GCD of given numbers 420, 216, 406, 273 is 1

2. How to calculate the greatest common divisor of 420, 216, 406, 273?

We can find the highest common divisor of 420, 216, 406, 273 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, 216, 406, 273 i.e 1.

3. How can I use the GCD of 420, 216, 406, 273Calculator?

Out the numbers 420, 216, 406, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.