GCD of 816, 217, 585, 689 Calculator

Given Input numbers are 816, 217, 585, 689

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

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 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (816, 217, 585, 689) = 1.

Given numbers are 816, 217, 585, 689

The list of prime factors of all numbers are

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

Prime factors of 217 are 7 x 31

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 689 are 13 x 53

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

Given numbers are 816, 217, 585, 689

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

Apply this formula for all numbers.

Step1:

LCM(816, 217) = 177072

GCD(816, 217) = ( 816 x 217 ) / 177072

= 816 / 217

= 816

Step2:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 816, 217, 585, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 367, 208, 875
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• GCD of 625, 520, 829, 713

Given numbers are 816, 217, 585, 689
The greatest common divisor of numbers 816, 217, 585, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 217, 585, 689 is 1.

1. What is the GCD of 816, 217, 585, 689?

GCD of given numbers 816, 217, 585, 689 is 1

2. How to calculate the greatest common divisor of 816, 217, 585, 689?

We can find the highest common divisor of 816, 217, 585, 689 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 816, 217, 585, 689 i.e 1.

3. How can I use the GCD of 816, 217, 585, 689Calculator?

Out the numbers 816, 217, 585, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.