GCD of 219, 189, 360, 720 Calculator

Given Input numbers are 219, 189, 360, 720

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

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 189 :

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

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

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

GCD of numbers is the greatest common divisor

So, the GCD (219, 189, 360, 720) = 3.

Given numbers are 219, 189, 360, 720

The list of prime factors of all numbers are

Prime factors of 219 are 3 x 73

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 219, 189, 360, 720 is 3.

Given numbers are 219, 189, 360, 720

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

Apply this formula for all numbers.

Step1:

LCM(219, 189) = 13797

GCD(219, 189) = ( 219 x 189 ) / 13797

= 219 / 189

= 219

Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

Step3:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

So, Greatest Common Divisor of 219, 189, 360, 720 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 223, 215, 840
• GCD of 701, 619, 187, 465
• GCD of 628, 429, 426, 980
• GCD of 881, 671, 510, 121
• GCD of 874, 585, 911, 317

Given numbers are 219, 189, 360, 720
The greatest common divisor of numbers 219, 189, 360, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 219, 189, 360, 720 is 3.

1. What is the GCD of 219, 189, 360, 720?

GCD of given numbers 219, 189, 360, 720 is 3

2. How to calculate the greatest common divisor of 219, 189, 360, 720?

We can find the highest common divisor of 219, 189, 360, 720 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 219, 189, 360, 720 i.e 3.

3. How can I use the GCD of 219, 189, 360, 720Calculator?

Out the numbers 219, 189, 360, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.