GCD of 586, 990, 814, 468 Calculator

Given Input numbers are 586, 990, 814, 468

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

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (586, 990, 814, 468) = 2.

Given numbers are 586, 990, 814, 468

The list of prime factors of all numbers are

Prime factors of 586 are 2 x 293

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 814 are 2 x 11 x 37

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 586, 990, 814, 468 is 2.

Given numbers are 586, 990, 814, 468

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

Apply this formula for all numbers.

Step1:

LCM(586, 990) = 290070

GCD(586, 990) = ( 586 x 990 ) / 290070

= 586 / 990

= 586

Step2:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

Step3:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

So, Greatest Common Divisor of 586, 990, 814, 468 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 976, 962, 568
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Given numbers are 586, 990, 814, 468
The greatest common divisor of numbers 586, 990, 814, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 990, 814, 468 is 2.

1. What is the GCD of 586, 990, 814, 468?

GCD of given numbers 586, 990, 814, 468 is 2

2. How to calculate the greatest common divisor of 586, 990, 814, 468?

We can find the highest common divisor of 586, 990, 814, 468 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 586, 990, 814, 468 i.e 2.

3. How can I use the GCD of 586, 990, 814, 468Calculator?

Out the numbers 586, 990, 814, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.