GCD of 382, 864, 696, 689 Calculator

Given Input numbers are 382, 864, 696, 689

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

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 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (382, 864, 696, 689) = 1.

Given numbers are 382, 864, 696, 689

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

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

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 689 are 13 x 53

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

Given numbers are 382, 864, 696, 689

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

Apply this formula for all numbers.

Step1:

LCM(382, 864) = 165024

GCD(382, 864) = ( 382 x 864 ) / 165024

= 382 / 864

= 382

Step2:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

Step3:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

So, Greatest Common Divisor of 382, 864, 696, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 155, 402, 238
• GCD of 785, 648, 293, 611
• GCD of 438, 147, 530, 253
• GCD of 470, 816, 787, 137
• GCD of 265, 469, 209, 448

Given numbers are 382, 864, 696, 689
The greatest common divisor of numbers 382, 864, 696, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 864, 696, 689 is 1.

1. What is the GCD of 382, 864, 696, 689?

GCD of given numbers 382, 864, 696, 689 is 1

2. How to calculate the greatest common divisor of 382, 864, 696, 689?

We can find the highest common divisor of 382, 864, 696, 689 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 382, 864, 696, 689 i.e 1.

3. How can I use the GCD of 382, 864, 696, 689Calculator?

Out the numbers 382, 864, 696, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.