GCD of 990, 570, 590, 364 Calculator

Given Input numbers are 990, 570, 590, 364

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

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 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

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 (990, 570, 590, 364) = 2.

Given numbers are 990, 570, 590, 364

The list of prime factors of all numbers are

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

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 590 are 2 x 5 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 990, 570, 590, 364 is 2.

Given numbers are 990, 570, 590, 364

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

Apply this formula for all numbers.

Step1:

LCM(990, 570) = 18810

GCD(990, 570) = ( 990 x 570 ) / 18810

= 990 / 570

= 990

Step2:

LCM(30, 590) = 1770

GCD(30, 590) = ( 30 x 590 ) / 1770

= 30 / 590

= 30

Step3:

LCM(10, 364) = 1820

GCD(10, 364) = ( 10 x 364 ) / 1820

= 10 / 364

= 10

So, Greatest Common Divisor of 990, 570, 590, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 571, 743, 559
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Given numbers are 990, 570, 590, 364
The greatest common divisor of numbers 990, 570, 590, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 570, 590, 364 is 2.

1. What is the GCD of 990, 570, 590, 364?

GCD of given numbers 990, 570, 590, 364 is 2

2. How to calculate the greatest common divisor of 990, 570, 590, 364?

We can find the highest common divisor of 990, 570, 590, 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 990, 570, 590, 364 i.e 2.

3. How can I use the GCD of 990, 570, 590, 364Calculator?

Out the numbers 990, 570, 590, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.