GCD of 189, 564, 594, 565 Calculator

Given Input numbers are 189, 564, 594, 565

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

GCD of numbers is the greatest common divisor

So, the GCD (189, 564, 594, 565) = 1.

Given numbers are 189, 564, 594, 565

The list of prime factors of all numbers are

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

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 565 are 5 x 113

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 189, 564, 594, 565

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

Apply this formula for all numbers.

Step1:

LCM(189, 564) = 35532

GCD(189, 564) = ( 189 x 564 ) / 35532

= 189 / 564

= 189

Step2:

LCM(3, 594) = 594

GCD(3, 594) = ( 3 x 594 ) / 594

= 3 / 594

= 3

Step3:

LCM(3, 565) = 1695

GCD(3, 565) = ( 3 x 565 ) / 1695

= 3 / 565

= 3

So, Greatest Common Divisor of 189, 564, 594, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 897, 731, 526
• GCD of 913, 952, 856, 414
• GCD of 728, 956, 282, 675
• GCD of 895, 564, 516, 615
• GCD of 106, 743, 225, 289

Given numbers are 189, 564, 594, 565
The greatest common divisor of numbers 189, 564, 594, 565 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 564, 594, 565 is 1.

1. What is the GCD of 189, 564, 594, 565?

GCD of given numbers 189, 564, 594, 565 is 1

2. How to calculate the greatest common divisor of 189, 564, 594, 565?

We can find the highest common divisor of 189, 564, 594, 565 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, 564, 594, 565 i.e 1.

3. How can I use the GCD of 189, 564, 594, 565Calculator?

Out the numbers 189, 564, 594, 565 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.