GCD of 864, 612, 130, 305 Calculator

Given Input numbers are 864, 612, 130, 305

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

GCD of numbers is the greatest common divisor

So, the GCD (864, 612, 130, 305) = 1.

Given numbers are 864, 612, 130, 305

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 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 130 are 2 x 5 x 13

Prime factors of 305 are 5 x 61

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

Given numbers are 864, 612, 130, 305

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

Apply this formula for all numbers.

Step1:

LCM(864, 612) = 14688

GCD(864, 612) = ( 864 x 612 ) / 14688

= 864 / 612

= 864

Step2:

LCM(36, 130) = 2340

GCD(36, 130) = ( 36 x 130 ) / 2340

= 36 / 130

= 36

Step3:

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

= 2 / 305

= 2

So, Greatest Common Divisor of 864, 612, 130, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 198, 363, 159
• GCD of 550, 332, 858, 313
• GCD of 269, 274, 441, 424
• GCD of 948, 281, 389, 179
• GCD of 381, 769, 691, 986

Given numbers are 864, 612, 130, 305
The greatest common divisor of numbers 864, 612, 130, 305 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 612, 130, 305 is 1.

1. What is the GCD of 864, 612, 130, 305?

GCD of given numbers 864, 612, 130, 305 is 1

2. How to calculate the greatest common divisor of 864, 612, 130, 305?

We can find the highest common divisor of 864, 612, 130, 305 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, 612, 130, 305 i.e 1.

3. How can I use the GCD of 864, 612, 130, 305Calculator?

Out the numbers 864, 612, 130, 305 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.