GCD of 504, 708, 585, 452 Calculator

Given Input numbers are 504, 708, 585, 452

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (504, 708, 585, 452) = 1.

Given numbers are 504, 708, 585, 452

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 708 are 2 x 2 x 3 x 59

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 452 are 2 x 2 x 113

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

Given numbers are 504, 708, 585, 452

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

Apply this formula for all numbers.

Step1:

LCM(504, 708) = 29736

GCD(504, 708) = ( 504 x 708 ) / 29736

= 504 / 708

= 504

Step2:

LCM(12, 585) = 2340

GCD(12, 585) = ( 12 x 585 ) / 2340

= 12 / 585

= 12

Step3:

LCM(3, 452) = 1356

GCD(3, 452) = ( 3 x 452 ) / 1356

= 3 / 452

= 3

So, Greatest Common Divisor of 504, 708, 585, 452 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 321, 716, 240
• GCD of 959, 385, 857, 398
• GCD of 411, 123, 109, 161
• GCD of 133, 266, 533, 264
• GCD of 407, 346, 910, 146

Given numbers are 504, 708, 585, 452
The greatest common divisor of numbers 504, 708, 585, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 708, 585, 452 is 1.

1. What is the GCD of 504, 708, 585, 452?

GCD of given numbers 504, 708, 585, 452 is 1

2. How to calculate the greatest common divisor of 504, 708, 585, 452?

We can find the highest common divisor of 504, 708, 585, 452 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, 708, 585, 452 i.e 1.

3. How can I use the GCD of 504, 708, 585, 452Calculator?

Out the numbers 504, 708, 585, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.