GCD of 864, 408, 915, 427 Calculator

Given Input numbers are 864, 408, 915, 427

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

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 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (864, 408, 915, 427) = 1.

Given numbers are 864, 408, 915, 427

The list of prime factors of all numbers are

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

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 915 are 3 x 5 x 61

Prime factors of 427 are 7 x 61

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

Given numbers are 864, 408, 915, 427

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

Apply this formula for all numbers.

Step1:

LCM(864, 408) = 14688

GCD(864, 408) = ( 864 x 408 ) / 14688

= 864 / 408

= 864

Step2:

LCM(24, 915) = 7320

GCD(24, 915) = ( 24 x 915 ) / 7320

= 24 / 915

= 24

Step3:

LCM(3, 427) = 1281

GCD(3, 427) = ( 3 x 427 ) / 1281

= 3 / 427

= 3

So, Greatest Common Divisor of 864, 408, 915, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 860, 336, 517
• GCD of 532, 160, 962, 470
• GCD of 972, 239, 302, 987
• GCD of 830, 447, 905, 165
• GCD of 818, 122, 513, 739

Given numbers are 864, 408, 915, 427
The greatest common divisor of numbers 864, 408, 915, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 408, 915, 427 is 1.

1. What is the GCD of 864, 408, 915, 427?

GCD of given numbers 864, 408, 915, 427 is 1

2. How to calculate the greatest common divisor of 864, 408, 915, 427?

We can find the highest common divisor of 864, 408, 915, 427 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 864, 408, 915, 427 i.e 1.

3. How can I use the GCD of 864, 408, 915, 427Calculator?

Out the numbers 864, 408, 915, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.