GCD of 489, 591, 420 Calculator

Given Input numbers are 489, 591, 420

In the factoring method, we have to find the divisors of all numbers

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

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

GCD of numbers is the greatest common divisor

So, the GCD (489, 591, 420) = 3.

Given numbers are 489, 591, 420

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 591 are 3 x 197

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 489, 591, 420 is 3.

Given numbers are 489, 591, 420

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

Apply this formula for all numbers.

Step1:

LCM(489, 591) = 96333

GCD(489, 591) = ( 489 x 591 ) / 96333

= 489 / 591

= 489

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 489, 591, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 983, 590
• GCD of 435, 992, 812
• GCD of 844, 197, 717
• GCD of 445, 319, 220
• GCD of 294, 946, 551

Given numbers are 489, 591, 420
The greatest common divisor of numbers 489, 591, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 591, 420 is 3.

1. What is the GCD of 489, 591, 420?

GCD of given numbers 489, 591, 420 is 3

2. How to calculate the greatest common divisor of 489, 591, 420?

We can find the highest common divisor of 489, 591, 420 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 489, 591, 420 i.e 3.

3. How can I use the GCD of 489, 591, 420Calculator?

Out the numbers 489, 591, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.