GCD of 489, 300, 765, 884 Calculator

Given Input numbers are 489, 300, 765, 884

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

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

GCD of numbers is the greatest common divisor

So, the GCD (489, 300, 765, 884) = 1.

Given numbers are 489, 300, 765, 884

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 884 are 2 x 2 x 13 x 17

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

Given numbers are 489, 300, 765, 884

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

Apply this formula for all numbers.

Step1:

LCM(489, 300) = 48900

GCD(489, 300) = ( 489 x 300 ) / 48900

= 489 / 300

= 489

Step2:

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

= 3 / 765

= 3

Step3:

LCM(3, 884) = 2652

GCD(3, 884) = ( 3 x 884 ) / 2652

= 3 / 884

= 3

So, Greatest Common Divisor of 489, 300, 765, 884 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 726, 505, 722
• GCD of 739, 761, 207, 387
• GCD of 572, 375, 251, 971
• GCD of 877, 590, 984, 637
• GCD of 588, 731, 713, 355

Given numbers are 489, 300, 765, 884
The greatest common divisor of numbers 489, 300, 765, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 300, 765, 884 is 1.

1. What is the GCD of 489, 300, 765, 884?

GCD of given numbers 489, 300, 765, 884 is 1

2. How to calculate the greatest common divisor of 489, 300, 765, 884?

We can find the highest common divisor of 489, 300, 765, 884 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 489, 300, 765, 884 i.e 1.

3. How can I use the GCD of 489, 300, 765, 884Calculator?

Out the numbers 489, 300, 765, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.