GCD of 129, 684, 102, 320 Calculator

Given Input numbers are 129, 684, 102, 320

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

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (129, 684, 102, 320) = 1.

Given numbers are 129, 684, 102, 320

The list of prime factors of all numbers are

Prime factors of 129 are 3 x 43

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 102 are 2 x 3 x 17

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 129, 684, 102, 320

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

Apply this formula for all numbers.

Step1:

LCM(129, 684) = 29412

GCD(129, 684) = ( 129 x 684 ) / 29412

= 129 / 684

= 129

Step2:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

Step3:

LCM(3, 320) = 960

GCD(3, 320) = ( 3 x 320 ) / 960

= 3 / 320

= 3

So, Greatest Common Divisor of 129, 684, 102, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 311, 854, 732
• GCD of 902, 571, 330, 929
• GCD of 693, 542, 331, 297
• GCD of 815, 663, 977, 810
• GCD of 957, 683, 900, 864

Given numbers are 129, 684, 102, 320
The greatest common divisor of numbers 129, 684, 102, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 684, 102, 320 is 1.

1. What is the GCD of 129, 684, 102, 320?

GCD of given numbers 129, 684, 102, 320 is 1

2. How to calculate the greatest common divisor of 129, 684, 102, 320?

We can find the highest common divisor of 129, 684, 102, 320 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 129, 684, 102, 320 i.e 1.

3. How can I use the GCD of 129, 684, 102, 320Calculator?

Out the numbers 129, 684, 102, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.