GCD of 189, 780, 222, 570 Calculator

Given Input numbers are 189, 780, 222, 570

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

GCD of numbers is the greatest common divisor

So, the GCD (189, 780, 222, 570) = 3.

Given numbers are 189, 780, 222, 570

The list of prime factors of all numbers are

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

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 222 are 2 x 3 x 37

Prime factors of 570 are 2 x 3 x 5 x 19

The highest common occurrence is 3¹

Therefore, GCD of 189, 780, 222, 570 is 3.

Given numbers are 189, 780, 222, 570

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

Apply this formula for all numbers.

Step1:

LCM(189, 780) = 49140

GCD(189, 780) = ( 189 x 780 ) / 49140

= 189 / 780

= 189

Step2:

LCM(3, 222) = 222

GCD(3, 222) = ( 3 x 222 ) / 222

= 3 / 222

= 3

Step3:

LCM(3, 570) = 570

GCD(3, 570) = ( 3 x 570 ) / 570

= 3 / 570

= 3

So, Greatest Common Divisor of 189, 780, 222, 570 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 495, 627, 449
• GCD of 609, 618, 256, 582
• GCD of 513, 711, 536, 811
• GCD of 394, 898, 398, 820
• GCD of 208, 188, 710, 291

Given numbers are 189, 780, 222, 570
The greatest common divisor of numbers 189, 780, 222, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 780, 222, 570 is 3.

1. What is the GCD of 189, 780, 222, 570?

GCD of given numbers 189, 780, 222, 570 is 3

2. How to calculate the greatest common divisor of 189, 780, 222, 570?

We can find the highest common divisor of 189, 780, 222, 570 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, 780, 222, 570 i.e 3.

3. How can I use the GCD of 189, 780, 222, 570Calculator?

Out the numbers 189, 780, 222, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.