GCD of 189, 720, 459 Calculator

Given Input numbers are 189, 720, 459

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

GCD of numbers is the greatest common divisor

So, the GCD (189, 720, 459) = 9.

Given numbers are 189, 720, 459

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 459 are 3 x 3 x 3 x 17

The highest common occurrence is 3²

Therefore, GCD of 189, 720, 459 is 9.

Given numbers are 189, 720, 459

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

Apply this formula for all numbers.

Step1:

LCM(189, 720) = 15120

GCD(189, 720) = ( 189 x 720 ) / 15120

= 189 / 720

= 189

Step2:

LCM(9, 459) = 459

GCD(9, 459) = ( 9 x 459 ) / 459

= 9 / 459

= 9

So, Greatest Common Divisor of 189, 720, 459 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 151, 961
• GCD of 285, 593, 446
• GCD of 248, 619, 686
• GCD of 831, 630, 971
• GCD of 101, 489, 667

Given numbers are 189, 720, 459
The greatest common divisor of numbers 189, 720, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 720, 459 is 9.

1. What is the GCD of 189, 720, 459?

GCD of given numbers 189, 720, 459 is 9

2. How to calculate the greatest common divisor of 189, 720, 459?

We can find the highest common divisor of 189, 720, 459 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 189, 720, 459 i.e 9.

3. How can I use the GCD of 189, 720, 459Calculator?

Out the numbers 189, 720, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.