GCD of 489, 555, 765 Calculator

Given Input numbers are 489, 555, 765

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 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555

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

GCD of numbers is the greatest common divisor

So, the GCD (489, 555, 765) = 3.

Given numbers are 489, 555, 765

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 555 are 3 x 5 x 37

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

The highest common occurrence is 3¹

Therefore, GCD of 489, 555, 765 is 3.

Given numbers are 489, 555, 765

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

Apply this formula for all numbers.

Step1:

LCM(489, 555) = 90465

GCD(489, 555) = ( 489 x 555 ) / 90465

= 489 / 555

= 489

Step2:

LCM(3, 765) = 765

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

= 3 / 765

= 3

So, Greatest Common Divisor of 489, 555, 765 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 168, 276, 859
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Given numbers are 489, 555, 765
The greatest common divisor of numbers 489, 555, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 555, 765 is 3.

1. What is the GCD of 489, 555, 765?

GCD of given numbers 489, 555, 765 is 3

2. How to calculate the greatest common divisor of 489, 555, 765?

We can find the highest common divisor of 489, 555, 765 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, 555, 765 i.e 3.

3. How can I use the GCD of 489, 555, 765Calculator?

Out the numbers 489, 555, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.