GCD of 105, 463, 966, 816 Calculator

Given Input numbers are 105, 463, 966, 816

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 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

GCD of numbers is the greatest common divisor

So, the GCD (105, 463, 966, 816) = 1.

Given numbers are 105, 463, 966, 816

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 463 are 463

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Given numbers are 105, 463, 966, 816

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

Apply this formula for all numbers.

Step1:

LCM(105, 463) = 48615

GCD(105, 463) = ( 105 x 463 ) / 48615

= 105 / 463

= 105

Step2:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

Step3:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1

So, Greatest Common Divisor of 105, 463, 966, 816 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 538, 669, 281
• GCD of 815, 372, 429, 514
• GCD of 485, 341, 956, 977
• GCD of 412, 775, 555, 432
• GCD of 654, 611, 156, 778

Given numbers are 105, 463, 966, 816
The greatest common divisor of numbers 105, 463, 966, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 463, 966, 816 is 1.

1. What is the GCD of 105, 463, 966, 816?

GCD of given numbers 105, 463, 966, 816 is 1

2. How to calculate the greatest common divisor of 105, 463, 966, 816?

We can find the highest common divisor of 105, 463, 966, 816 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, 463, 966, 816 i.e 1.

3. How can I use the GCD of 105, 463, 966, 816Calculator?

Out the numbers 105, 463, 966, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.