GCD of 777, 204, 489 Calculator

Given Input numbers are 777, 204, 489

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

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (777, 204, 489) = 3.

Given numbers are 777, 204, 489

The list of prime factors of all numbers are

Prime factors of 777 are 3 x 7 x 37

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 777, 204, 489 is 3.

Given numbers are 777, 204, 489

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

Apply this formula for all numbers.

Step1:

LCM(777, 204) = 52836

GCD(777, 204) = ( 777 x 204 ) / 52836

= 777 / 204

= 777

Step2:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3

So, Greatest Common Divisor of 777, 204, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 583, 486
• GCD of 933, 337, 708
• GCD of 366, 103, 903
• GCD of 139, 298, 440
• GCD of 408, 169, 318

Given numbers are 777, 204, 489
The greatest common divisor of numbers 777, 204, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 204, 489 is 3.

1. What is the GCD of 777, 204, 489?

GCD of given numbers 777, 204, 489 is 3

2. How to calculate the greatest common divisor of 777, 204, 489?

We can find the highest common divisor of 777, 204, 489 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 777, 204, 489 i.e 3.

3. How can I use the GCD of 777, 204, 489Calculator?

Out the numbers 777, 204, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.