GCD of 489, 564, 504, 689 Calculator

Given Input numbers are 489, 564, 504, 689

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (489, 564, 504, 689) = 1.

Given numbers are 489, 564, 504, 689

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 689 are 13 x 53

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

Given numbers are 489, 564, 504, 689

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

Apply this formula for all numbers.

Step1:

LCM(489, 564) = 91932

GCD(489, 564) = ( 489 x 564 ) / 91932

= 489 / 564

= 489

Step2:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

Step3:

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

= 3 / 689

= 3

So, Greatest Common Divisor of 489, 564, 504, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 989, 844, 324
• GCD of 689, 840, 950, 913
• GCD of 780, 235, 609, 102
• GCD of 131, 944, 558, 513
• GCD of 879, 750, 981, 277

Given numbers are 489, 564, 504, 689
The greatest common divisor of numbers 489, 564, 504, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 564, 504, 689 is 1.

1. What is the GCD of 489, 564, 504, 689?

GCD of given numbers 489, 564, 504, 689 is 1

2. How to calculate the greatest common divisor of 489, 564, 504, 689?

We can find the highest common divisor of 489, 564, 504, 689 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, 564, 504, 689 i.e 1.

3. How can I use the GCD of 489, 564, 504, 689Calculator?

Out the numbers 489, 564, 504, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.