GCD of 105, 816, 609, 364 Calculator

Given Input numbers are 105, 816, 609, 364

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 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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (105, 816, 609, 364) = 1.

Given numbers are 105, 816, 609, 364

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

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

Prime factors of 609 are 3 x 7 x 29

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 105, 816, 609, 364

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

Apply this formula for all numbers.

Step1:

LCM(105, 816) = 28560

GCD(105, 816) = ( 105 x 816 ) / 28560

= 105 / 816

= 105

Step2:

LCM(3, 609) = 609

GCD(3, 609) = ( 3 x 609 ) / 609

= 3 / 609

= 3

Step3:

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

= 3 / 364

= 3

So, Greatest Common Divisor of 105, 816, 609, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 330, 100, 560
• GCD of 944, 923, 565, 967
• GCD of 460, 772, 830, 117
• GCD of 460, 558, 189, 326
• GCD of 827, 351, 737, 302

Given numbers are 105, 816, 609, 364
The greatest common divisor of numbers 105, 816, 609, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 816, 609, 364 is 1.

1. What is the GCD of 105, 816, 609, 364?

GCD of given numbers 105, 816, 609, 364 is 1

2. How to calculate the greatest common divisor of 105, 816, 609, 364?

We can find the highest common divisor of 105, 816, 609, 364 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, 816, 609, 364 i.e 1.

3. How can I use the GCD of 105, 816, 609, 364Calculator?

Out the numbers 105, 816, 609, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.