GCD of 864, 825, 174, 666 Calculator

Given Input numbers are 864, 825, 174, 666

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

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

GCD of numbers is the greatest common divisor

So, the GCD (864, 825, 174, 666) = 3.

Given numbers are 864, 825, 174, 666

The list of prime factors of all numbers are

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 174 are 2 x 3 x 29

Prime factors of 666 are 2 x 3 x 3 x 37

The highest common occurrence is 3¹

Therefore, GCD of 864, 825, 174, 666 is 3.

Given numbers are 864, 825, 174, 666

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

Apply this formula for all numbers.

Step1:

LCM(864, 825) = 237600

GCD(864, 825) = ( 864 x 825 ) / 237600

= 864 / 825

= 864

Step2:

LCM(3, 174) = 174

GCD(3, 174) = ( 3 x 174 ) / 174

= 3 / 174

= 3

Step3:

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

= 3 / 666

= 3

So, Greatest Common Divisor of 864, 825, 174, 666 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 470, 397, 786
• GCD of 279, 961, 957, 208
• GCD of 146, 440, 671, 980
• GCD of 361, 594, 586, 825
• GCD of 538, 768, 635, 155

Given numbers are 864, 825, 174, 666
The greatest common divisor of numbers 864, 825, 174, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 825, 174, 666 is 3.

1. What is the GCD of 864, 825, 174, 666?

GCD of given numbers 864, 825, 174, 666 is 3

2. How to calculate the greatest common divisor of 864, 825, 174, 666?

We can find the highest common divisor of 864, 825, 174, 666 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 864, 825, 174, 666 i.e 3.

3. How can I use the GCD of 864, 825, 174, 666Calculator?

Out the numbers 864, 825, 174, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.