GCD of 728, 504, 524, 393 Calculator

Given Input numbers are 728, 504, 524, 393

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

GCD of numbers is the greatest common divisor

So, the GCD (728, 504, 524, 393) = 1.

Given numbers are 728, 504, 524, 393

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Prime factors of 524 are 2 x 2 x 131

Prime factors of 393 are 3 x 131

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

Given numbers are 728, 504, 524, 393

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

Apply this formula for all numbers.

Step1:

LCM(728, 504) = 6552

GCD(728, 504) = ( 728 x 504 ) / 6552

= 728 / 504

= 728

Step2:

LCM(56, 524) = 7336

GCD(56, 524) = ( 56 x 524 ) / 7336

= 56 / 524

= 56

Step3:

LCM(4, 393) = 1572

GCD(4, 393) = ( 4 x 393 ) / 1572

= 4 / 393

= 4

So, Greatest Common Divisor of 728, 504, 524, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 298, 677, 325, 838
• GCD of 189, 207, 285, 495
• GCD of 759, 994, 789, 198
• GCD of 720, 872, 739, 263
• GCD of 996, 470, 992, 518

Given numbers are 728, 504, 524, 393
The greatest common divisor of numbers 728, 504, 524, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 504, 524, 393 is 1.

1. What is the GCD of 728, 504, 524, 393?

GCD of given numbers 728, 504, 524, 393 is 1

2. How to calculate the greatest common divisor of 728, 504, 524, 393?

We can find the highest common divisor of 728, 504, 524, 393 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 728, 504, 524, 393 i.e 1.

3. How can I use the GCD of 728, 504, 524, 393Calculator?

Out the numbers 728, 504, 524, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.