GCD of 489, 414, 530, 972 Calculator

Given Input numbers are 489, 414, 530, 972

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (489, 414, 530, 972) = 1.

Given numbers are 489, 414, 530, 972

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 530 are 2 x 5 x 53

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 489, 414, 530, 972

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

Apply this formula for all numbers.

Step1:

LCM(489, 414) = 67482

GCD(489, 414) = ( 489 x 414 ) / 67482

= 489 / 414

= 489

Step2:

LCM(3, 530) = 1590

GCD(3, 530) = ( 3 x 530 ) / 1590

= 3 / 530

= 3

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 489, 414, 530, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 854, 328, 756
• GCD of 395, 152, 892, 295
• GCD of 392, 808, 756, 385
• GCD of 131, 667, 760, 734
• GCD of 633, 654, 821, 957

Given numbers are 489, 414, 530, 972
The greatest common divisor of numbers 489, 414, 530, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 414, 530, 972 is 1.

1. What is the GCD of 489, 414, 530, 972?

GCD of given numbers 489, 414, 530, 972 is 1

2. How to calculate the greatest common divisor of 489, 414, 530, 972?

We can find the highest common divisor of 489, 414, 530, 972 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, 414, 530, 972 i.e 1.

3. How can I use the GCD of 489, 414, 530, 972Calculator?

Out the numbers 489, 414, 530, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.