GCD of 864, 105, 696, 394 Calculator

Given Input numbers are 864, 105, 696, 394

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

GCD of numbers is the greatest common divisor

So, the GCD (864, 105, 696, 394) = 1.

Given numbers are 864, 105, 696, 394

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 105 are 3 x 5 x 7

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

Prime factors of 394 are 2 x 197

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

Given numbers are 864, 105, 696, 394

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

Apply this formula for all numbers.

Step1:

LCM(864, 105) = 30240

GCD(864, 105) = ( 864 x 105 ) / 30240

= 864 / 105

= 864

Step2:

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

= 3 / 696

= 3

Step3:

LCM(3, 394) = 1182

GCD(3, 394) = ( 3 x 394 ) / 1182

= 3 / 394

= 3

So, Greatest Common Divisor of 864, 105, 696, 394 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 957, 890, 185
• GCD of 533, 310, 415, 947
• GCD of 709, 589, 119, 834
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Given numbers are 864, 105, 696, 394
The greatest common divisor of numbers 864, 105, 696, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 105, 696, 394 is 1.

1. What is the GCD of 864, 105, 696, 394?

GCD of given numbers 864, 105, 696, 394 is 1

2. How to calculate the greatest common divisor of 864, 105, 696, 394?

We can find the highest common divisor of 864, 105, 696, 394 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, 105, 696, 394 i.e 1.

3. How can I use the GCD of 864, 105, 696, 394Calculator?

Out the numbers 864, 105, 696, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.