GCD of 108, 286, 960, 363 Calculator

Given Input numbers are 108, 286, 960, 363

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (108, 286, 960, 363) = 1.

Given numbers are 108, 286, 960, 363

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 286 are 2 x 11 x 13

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 363 are 3 x 11 x 11

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

Given numbers are 108, 286, 960, 363

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

Apply this formula for all numbers.

Step1:

LCM(108, 286) = 15444

GCD(108, 286) = ( 108 x 286 ) / 15444

= 108 / 286

= 108

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

= 2 / 363

= 2

So, Greatest Common Divisor of 108, 286, 960, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 532, 375, 429
• GCD of 971, 359, 876, 132
• GCD of 363, 266, 991, 178
• GCD of 456, 277, 763, 861
• GCD of 568, 719, 192, 296

Given numbers are 108, 286, 960, 363
The greatest common divisor of numbers 108, 286, 960, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 286, 960, 363 is 1.

1. What is the GCD of 108, 286, 960, 363?

GCD of given numbers 108, 286, 960, 363 is 1

2. How to calculate the greatest common divisor of 108, 286, 960, 363?

We can find the highest common divisor of 108, 286, 960, 363 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 108, 286, 960, 363 i.e 1.

3. How can I use the GCD of 108, 286, 960, 363Calculator?

Out the numbers 108, 286, 960, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.