GCD of 427, 288, 752, 864 Calculator

Given Input numbers are 427, 288, 752, 864

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

Divisors of 427 :

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

1, 7, 61, 427

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 (427, 288, 752, 864) = 1.

Given numbers are 427, 288, 752, 864

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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 427, 288, 752, 864

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

Apply this formula for all numbers.

Step1:

LCM(427, 288) = 122976

GCD(427, 288) = ( 427 x 288 ) / 122976

= 427 / 288

= 427

Step2:

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

= 1 / 752

= 1

Step3:

LCM(1, 864) = 864

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

= 1 / 864

= 1

So, Greatest Common Divisor of 427, 288, 752, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 730, 301, 840, 612
• GCD of 913, 412, 253, 934
• GCD of 609, 791, 733, 218
• GCD of 329, 850, 789, 483
• GCD of 681, 237, 232, 426

Given numbers are 427, 288, 752, 864
The greatest common divisor of numbers 427, 288, 752, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 288, 752, 864 is 1.

1. What is the GCD of 427, 288, 752, 864?

GCD of given numbers 427, 288, 752, 864 is 1

2. How to calculate the greatest common divisor of 427, 288, 752, 864?

We can find the highest common divisor of 427, 288, 752, 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 427, 288, 752, 864 i.e 1.

3. How can I use the GCD of 427, 288, 752, 864Calculator?

Out the numbers 427, 288, 752, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.