GCD of 230, 747, 689, 864 Calculator

Given Input numbers are 230, 747, 689, 864

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 (230, 747, 689, 864) = 1.

Given numbers are 230, 747, 689, 864

The list of prime factors of all numbers are

Prime factors of 230 are 2 x 5 x 23

Prime factors of 747 are 3 x 3 x 83

Prime factors of 689 are 13 x 53

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 230, 747, 689, 864

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

Apply this formula for all numbers.

Step1:

LCM(230, 747) = 171810

GCD(230, 747) = ( 230 x 747 ) / 171810

= 230 / 747

= 230

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 864) = 864

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

= 1 / 864

= 1

So, Greatest Common Divisor of 230, 747, 689, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 365, 348, 286
• GCD of 443, 713, 822, 717
• GCD of 175, 146, 735, 945
• GCD of 894, 593, 260, 431
• GCD of 916, 530, 927, 530

Given numbers are 230, 747, 689, 864
The greatest common divisor of numbers 230, 747, 689, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 230, 747, 689, 864 is 1.

1. What is the GCD of 230, 747, 689, 864?

GCD of given numbers 230, 747, 689, 864 is 1

2. How to calculate the greatest common divisor of 230, 747, 689, 864?

We can find the highest common divisor of 230, 747, 689, 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 230, 747, 689, 864 i.e 1.

3. How can I use the GCD of 230, 747, 689, 864Calculator?

Out the numbers 230, 747, 689, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.