GCD of 393, 504, 508, 735 Calculator

Given Input numbers are 393, 504, 508, 735

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

Divisors of 393 :

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

1, 3, 131, 393

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (393, 504, 508, 735) = 1.

Given numbers are 393, 504, 508, 735

The list of prime factors of all numbers are

Prime factors of 393 are 3 x 131

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 735 are 3 x 5 x 7 x 7

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

Given numbers are 393, 504, 508, 735

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

Apply this formula for all numbers.

Step1:

LCM(393, 504) = 66024

GCD(393, 504) = ( 393 x 504 ) / 66024

= 393 / 504

= 393

Step2:

LCM(3, 508) = 1524

GCD(3, 508) = ( 3 x 508 ) / 1524

= 3 / 508

= 3

Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

So, Greatest Common Divisor of 393, 504, 508, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 182, 605, 835
• GCD of 484, 632, 514, 160
• GCD of 357, 629, 684, 309
• GCD of 183, 618, 541, 707
• GCD of 449, 273, 982, 320

Given numbers are 393, 504, 508, 735
The greatest common divisor of numbers 393, 504, 508, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 504, 508, 735 is 1.

1. What is the GCD of 393, 504, 508, 735?

GCD of given numbers 393, 504, 508, 735 is 1

2. How to calculate the greatest common divisor of 393, 504, 508, 735?

We can find the highest common divisor of 393, 504, 508, 735 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 393, 504, 508, 735 i.e 1.

3. How can I use the GCD of 393, 504, 508, 735Calculator?

Out the numbers 393, 504, 508, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.