GCD of 105, 808, 960, 422 Calculator

Given Input numbers are 105, 808, 960, 422

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

Divisors of 105 :

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

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (105, 808, 960, 422) = 1.

Given numbers are 105, 808, 960, 422

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 808 are 2 x 2 x 2 x 101

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

Prime factors of 422 are 2 x 211

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

Given numbers are 105, 808, 960, 422

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

Apply this formula for all numbers.

Step1:

LCM(105, 808) = 84840

GCD(105, 808) = ( 105 x 808 ) / 84840

= 105 / 808

= 105

Step2:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 105, 808, 960, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 416, 537, 432
• GCD of 286, 387, 344, 952
• GCD of 485, 663, 365, 576
• GCD of 899, 115, 378, 306
• GCD of 372, 163, 873, 310

Given numbers are 105, 808, 960, 422
The greatest common divisor of numbers 105, 808, 960, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 808, 960, 422 is 1.

1. What is the GCD of 105, 808, 960, 422?

GCD of given numbers 105, 808, 960, 422 is 1

2. How to calculate the greatest common divisor of 105, 808, 960, 422?

We can find the highest common divisor of 105, 808, 960, 422 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 105, 808, 960, 422 i.e 1.

3. How can I use the GCD of 105, 808, 960, 422Calculator?

Out the numbers 105, 808, 960, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.