GCD of 189, 225, 586, 224 Calculator

Given Input numbers are 189, 225, 586, 224

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (189, 225, 586, 224) = 1.

Given numbers are 189, 225, 586, 224

The list of prime factors of all numbers are

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 586 are 2 x 293

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 189, 225, 586, 224

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

Apply this formula for all numbers.

Step1:

LCM(189, 225) = 4725

GCD(189, 225) = ( 189 x 225 ) / 4725

= 189 / 225

= 189

Step2:

LCM(9, 586) = 5274

GCD(9, 586) = ( 9 x 586 ) / 5274

= 9 / 586

= 9

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 189, 225, 586, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 523, 547, 377
• GCD of 432, 543, 364, 707
• GCD of 421, 872, 486, 534
• GCD of 122, 899, 575, 711
• GCD of 623, 240, 351, 448

Given numbers are 189, 225, 586, 224
The greatest common divisor of numbers 189, 225, 586, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 225, 586, 224 is 1.

1. What is the GCD of 189, 225, 586, 224?

GCD of given numbers 189, 225, 586, 224 is 1

2. How to calculate the greatest common divisor of 189, 225, 586, 224?

We can find the highest common divisor of 189, 225, 586, 224 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, 225, 586, 224 i.e 1.

3. How can I use the GCD of 189, 225, 586, 224Calculator?

Out the numbers 189, 225, 586, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.