GCD of 225, 864, 659, 872 Calculator

Given Input numbers are 225, 864, 659, 872

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

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (225, 864, 659, 872) = 1.

Given numbers are 225, 864, 659, 872

The list of prime factors of all numbers are

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

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 659 are 659

Prime factors of 872 are 2 x 2 x 2 x 109

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

Given numbers are 225, 864, 659, 872

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

Apply this formula for all numbers.

Step1:

LCM(225, 864) = 21600

GCD(225, 864) = ( 225 x 864 ) / 21600

= 225 / 864

= 225

Step2:

LCM(9, 659) = 5931

GCD(9, 659) = ( 9 x 659 ) / 5931

= 9 / 659

= 9

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 225, 864, 659, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 159, 575, 498
• GCD of 718, 734, 307, 654
• GCD of 655, 582, 664, 222
• GCD of 450, 593, 773, 791
• GCD of 470, 167, 716, 823

Given numbers are 225, 864, 659, 872
The greatest common divisor of numbers 225, 864, 659, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 864, 659, 872 is 1.

1. What is the GCD of 225, 864, 659, 872?

GCD of given numbers 225, 864, 659, 872 is 1

2. How to calculate the greatest common divisor of 225, 864, 659, 872?

We can find the highest common divisor of 225, 864, 659, 872 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 225, 864, 659, 872 i.e 1.

3. How can I use the GCD of 225, 864, 659, 872Calculator?

Out the numbers 225, 864, 659, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.