GCD of 405, 735, 727, 384 Calculator

Given Input numbers are 405, 735, 727, 384

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

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (405, 735, 727, 384) = 1.

Given numbers are 405, 735, 727, 384

The list of prime factors of all numbers are

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

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

Prime factors of 727 are 727

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Given numbers are 405, 735, 727, 384

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

Apply this formula for all numbers.

Step1:

LCM(405, 735) = 19845

GCD(405, 735) = ( 405 x 735 ) / 19845

= 405 / 735

= 405

Step2:

LCM(15, 727) = 10905

GCD(15, 727) = ( 15 x 727 ) / 10905

= 15 / 727

= 15

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 405, 735, 727, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 321, 465, 270
• GCD of 959, 854, 665, 680
• GCD of 527, 931, 230, 665
• GCD of 487, 170, 705, 575
• GCD of 436, 243, 956, 396

Given numbers are 405, 735, 727, 384
The greatest common divisor of numbers 405, 735, 727, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 735, 727, 384 is 1.

1. What is the GCD of 405, 735, 727, 384?

GCD of given numbers 405, 735, 727, 384 is 1

2. How to calculate the greatest common divisor of 405, 735, 727, 384?

We can find the highest common divisor of 405, 735, 727, 384 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 405, 735, 727, 384 i.e 1.

3. How can I use the GCD of 405, 735, 727, 384Calculator?

Out the numbers 405, 735, 727, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.