GCD of 390, 400, 11, 864 Calculator

Given Input numbers are 390, 400, 11, 864

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 11 :

The positive integer divisors of 11 that completely divides 11 are.

1, 11

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

GCD of numbers is the greatest common divisor

So, the GCD (390, 400, 11, 864) = 1.

Given numbers are 390, 400, 11, 864

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 11 are 11

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

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

Given numbers are 390, 400, 11, 864

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

Apply this formula for all numbers.

Step1:

LCM(390, 400) = 15600

GCD(390, 400) = ( 390 x 400 ) / 15600

= 390 / 400

= 390

Step2:

LCM(10, 11) = 110

GCD(10, 11) = ( 10 x 11 ) / 110

= 10 / 11

= 10

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 390, 400, 11, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 154, 33, 512
• GCD of 438, 650, 67, 708
• GCD of 279, 304, 73, 509
• GCD of 666, 874, 25, 544
• GCD of 240, 129, 92, 904

Given numbers are 390, 400, 11, 864
The greatest common divisor of numbers 390, 400, 11, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 400, 11, 864 is 1.

1. What is the GCD of 390, 400, 11, 864?

GCD of given numbers 390, 400, 11, 864 is 1

2. How to calculate the greatest common divisor of 390, 400, 11, 864?

We can find the highest common divisor of 390, 400, 11, 864 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 390, 400, 11, 864 i.e 1.

3. How can I use the GCD of 390, 400, 11, 864Calculator?

Out the numbers 390, 400, 11, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.