GCD of 489, 576, 724, 369 Calculator

Given Input numbers are 489, 576, 724, 369

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (489, 576, 724, 369) = 1.

Given numbers are 489, 576, 724, 369

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 724 are 2 x 2 x 181

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 489, 576, 724, 369

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

Apply this formula for all numbers.

Step1:

LCM(489, 576) = 93888

GCD(489, 576) = ( 489 x 576 ) / 93888

= 489 / 576

= 489

Step2:

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

= 3 / 724

= 3

Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1

So, Greatest Common Divisor of 489, 576, 724, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 649, 980, 144
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Given numbers are 489, 576, 724, 369
The greatest common divisor of numbers 489, 576, 724, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 576, 724, 369 is 1.

1. What is the GCD of 489, 576, 724, 369?

GCD of given numbers 489, 576, 724, 369 is 1

2. How to calculate the greatest common divisor of 489, 576, 724, 369?

We can find the highest common divisor of 489, 576, 724, 369 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, 576, 724, 369 i.e 1.

3. How can I use the GCD of 489, 576, 724, 369Calculator?

Out the numbers 489, 576, 724, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.