GCD of 420, 272, 18, 404 Calculator

Given Input numbers are 420, 272, 18, 404

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (420, 272, 18, 404) = 2.

Given numbers are 420, 272, 18, 404

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 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 18 are 2 x 3 x 3

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 420, 272, 18, 404 is 2.

Given numbers are 420, 272, 18, 404

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

Apply this formula for all numbers.

Step1:

LCM(420, 272) = 28560

GCD(420, 272) = ( 420 x 272 ) / 28560

= 420 / 272

= 420

Step2:

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

= 4 / 18

= 4

Step3:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

So, Greatest Common Divisor of 420, 272, 18, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 380, 73, 330
• GCD of 743, 355, 34, 355
• GCD of 474, 614, 90, 778
• GCD of 429, 343, 49, 962
• GCD of 228, 604, 52, 545

Given numbers are 420, 272, 18, 404
The greatest common divisor of numbers 420, 272, 18, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 272, 18, 404 is 2.

1. What is the GCD of 420, 272, 18, 404?

GCD of given numbers 420, 272, 18, 404 is 2

2. How to calculate the greatest common divisor of 420, 272, 18, 404?

We can find the highest common divisor of 420, 272, 18, 404 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, 272, 18, 404 i.e 2.

3. How can I use the GCD of 420, 272, 18, 404Calculator?

Out the numbers 420, 272, 18, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.