GCD of 489, 723, 542, 608 Calculator

Given Input numbers are 489, 723, 542, 608

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 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

GCD of numbers is the greatest common divisor

So, the GCD (489, 723, 542, 608) = 1.

Given numbers are 489, 723, 542, 608

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 723 are 3 x 241

Prime factors of 542 are 2 x 271

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

Given numbers are 489, 723, 542, 608

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

Apply this formula for all numbers.

Step1:

LCM(489, 723) = 117849

GCD(489, 723) = ( 489 x 723 ) / 117849

= 489 / 723

= 489

Step2:

LCM(3, 542) = 1626

GCD(3, 542) = ( 3 x 542 ) / 1626

= 3 / 542

= 3

Step3:

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

= 1 / 608

= 1

So, Greatest Common Divisor of 489, 723, 542, 608 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 650, 484, 219
• GCD of 554, 251, 213, 885
• GCD of 179, 618, 807, 674
• GCD of 732, 743, 941, 294
• GCD of 654, 472, 121, 837

Given numbers are 489, 723, 542, 608
The greatest common divisor of numbers 489, 723, 542, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 723, 542, 608 is 1.

1. What is the GCD of 489, 723, 542, 608?

GCD of given numbers 489, 723, 542, 608 is 1

2. How to calculate the greatest common divisor of 489, 723, 542, 608?

We can find the highest common divisor of 489, 723, 542, 608 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, 723, 542, 608 i.e 1.

3. How can I use the GCD of 489, 723, 542, 608Calculator?

Out the numbers 489, 723, 542, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.