GCD of 489, 477, 741, 512 Calculator

Given Input numbers are 489, 477, 741, 512

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 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (489, 477, 741, 512) = 1.

Given numbers are 489, 477, 741, 512

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 477 are 3 x 3 x 53

Prime factors of 741 are 3 x 13 x 19

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Given numbers are 489, 477, 741, 512

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

Apply this formula for all numbers.

Step1:

LCM(489, 477) = 77751

GCD(489, 477) = ( 489 x 477 ) / 77751

= 489 / 477

= 489

Step2:

LCM(3, 741) = 741

GCD(3, 741) = ( 3 x 741 ) / 741

= 3 / 741

= 3

Step3:

LCM(3, 512) = 1536

GCD(3, 512) = ( 3 x 512 ) / 1536

= 3 / 512

= 3

So, Greatest Common Divisor of 489, 477, 741, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 886, 818, 574
• GCD of 175, 891, 790, 574
• GCD of 476, 569, 738, 974
• GCD of 446, 583, 340, 459
• GCD of 560, 215, 641, 781

Given numbers are 489, 477, 741, 512
The greatest common divisor of numbers 489, 477, 741, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 477, 741, 512 is 1.

1. What is the GCD of 489, 477, 741, 512?

GCD of given numbers 489, 477, 741, 512 is 1

2. How to calculate the greatest common divisor of 489, 477, 741, 512?

We can find the highest common divisor of 489, 477, 741, 512 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, 477, 741, 512 i.e 1.

3. How can I use the GCD of 489, 477, 741, 512Calculator?

Out the numbers 489, 477, 741, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.