GCD of 504, 165, 864, 458 Calculator

Given Input numbers are 504, 165, 864, 458

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

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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

GCD of numbers is the greatest common divisor

So, the GCD (504, 165, 864, 458) = 1.

Given numbers are 504, 165, 864, 458

The list of prime factors of all numbers are

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

Prime factors of 165 are 3 x 5 x 11

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 458 are 2 x 229

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

Given numbers are 504, 165, 864, 458

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

Apply this formula for all numbers.

Step1:

LCM(504, 165) = 27720

GCD(504, 165) = ( 504 x 165 ) / 27720

= 504 / 165

= 504

Step2:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

Step3:

LCM(3, 458) = 1374

GCD(3, 458) = ( 3 x 458 ) / 1374

= 3 / 458

= 3

So, Greatest Common Divisor of 504, 165, 864, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 736, 532, 308
• GCD of 393, 472, 113, 653
• GCD of 254, 639, 331, 371
• GCD of 477, 295, 609, 704
• GCD of 686, 448, 139, 925

Given numbers are 504, 165, 864, 458
The greatest common divisor of numbers 504, 165, 864, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 165, 864, 458 is 1.

1. What is the GCD of 504, 165, 864, 458?

GCD of given numbers 504, 165, 864, 458 is 1

2. How to calculate the greatest common divisor of 504, 165, 864, 458?

We can find the highest common divisor of 504, 165, 864, 458 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 504, 165, 864, 458 i.e 1.

3. How can I use the GCD of 504, 165, 864, 458Calculator?

Out the numbers 504, 165, 864, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.