GCD of 315, 584, 489, 492 Calculator

Given Input numbers are 315, 584, 489, 492

In the factoring method, we have to find the divisors of all numbers

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (315, 584, 489, 492) = 1.

Given numbers are 315, 584, 489, 492

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 489 are 3 x 163

Prime factors of 492 are 2 x 2 x 3 x 41

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

Given numbers are 315, 584, 489, 492

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

Apply this formula for all numbers.

Step1:

LCM(315, 584) = 183960

GCD(315, 584) = ( 315 x 584 ) / 183960

= 315 / 584

= 315

Step2:

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

= 1 / 489

= 1

Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

So, Greatest Common Divisor of 315, 584, 489, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 557, 803, 583
• GCD of 769, 642, 717, 133
• GCD of 745, 538, 996, 108
• GCD of 293, 754, 240, 590
• GCD of 831, 212, 704, 762

Given numbers are 315, 584, 489, 492
The greatest common divisor of numbers 315, 584, 489, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 584, 489, 492 is 1.

1. What is the GCD of 315, 584, 489, 492?

GCD of given numbers 315, 584, 489, 492 is 1

2. How to calculate the greatest common divisor of 315, 584, 489, 492?

We can find the highest common divisor of 315, 584, 489, 492 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 315, 584, 489, 492 i.e 1.

3. How can I use the GCD of 315, 584, 489, 492Calculator?

Out the numbers 315, 584, 489, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.