GCD of 663, 321, 825, 789 Calculator

Given Input numbers are 663, 321, 825, 789

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

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

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 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (663, 321, 825, 789) = 3.

Given numbers are 663, 321, 825, 789

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 321 are 3 x 107

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

Prime factors of 789 are 3 x 263

The highest common occurrence is 3¹

Therefore, GCD of 663, 321, 825, 789 is 3.

Given numbers are 663, 321, 825, 789

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

Apply this formula for all numbers.

Step1:

LCM(663, 321) = 70941

GCD(663, 321) = ( 663 x 321 ) / 70941

= 663 / 321

= 663

Step2:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

Step3:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

So, Greatest Common Divisor of 663, 321, 825, 789 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 675, 245, 278
• GCD of 178, 417, 529, 758
• GCD of 803, 197, 766, 413
• GCD of 304, 244, 800, 255
• GCD of 477, 478, 321, 359

Given numbers are 663, 321, 825, 789
The greatest common divisor of numbers 663, 321, 825, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 321, 825, 789 is 3.

1. What is the GCD of 663, 321, 825, 789?

GCD of given numbers 663, 321, 825, 789 is 3

2. How to calculate the greatest common divisor of 663, 321, 825, 789?

We can find the highest common divisor of 663, 321, 825, 789 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 663, 321, 825, 789 i.e 3.

3. How can I use the GCD of 663, 321, 825, 789Calculator?

Out the numbers 663, 321, 825, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.