GCD of 420, 489, 330 Calculator

Given Input numbers are 420, 489, 330

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 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

GCD of numbers is the greatest common divisor

So, the GCD (420, 489, 330) = 3.

Given numbers are 420, 489, 330

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 489 are 3 x 163

Prime factors of 330 are 2 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 420, 489, 330 is 3.

Given numbers are 420, 489, 330

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

Apply this formula for all numbers.

Step1:

LCM(420, 489) = 68460

GCD(420, 489) = ( 420 x 489 ) / 68460

= 420 / 489

= 420

Step2:

LCM(3, 330) = 330

GCD(3, 330) = ( 3 x 330 ) / 330

= 3 / 330

= 3

So, Greatest Common Divisor of 420, 489, 330 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 821, 563, 187
• GCD of 698, 470, 916
• GCD of 420, 145, 329
• GCD of 622, 643, 762
• GCD of 505, 157, 130

Given numbers are 420, 489, 330
The greatest common divisor of numbers 420, 489, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 489, 330 is 3.

1. What is the GCD of 420, 489, 330?

GCD of given numbers 420, 489, 330 is 3

2. How to calculate the greatest common divisor of 420, 489, 330?

We can find the highest common divisor of 420, 489, 330 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, 489, 330 i.e 3.

3. How can I use the GCD of 420, 489, 330Calculator?

Out the numbers 420, 489, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.