GCD of 990, 300, 591, 424 Calculator

Given Input numbers are 990, 300, 591, 424

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (990, 300, 591, 424) = 1.

Given numbers are 990, 300, 591, 424

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 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 591 are 3 x 197

Prime factors of 424 are 2 x 2 x 2 x 53

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

Given numbers are 990, 300, 591, 424

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

Apply this formula for all numbers.

Step1:

LCM(990, 300) = 9900

GCD(990, 300) = ( 990 x 300 ) / 9900

= 990 / 300

= 990

Step2:

LCM(30, 591) = 5910

GCD(30, 591) = ( 30 x 591 ) / 5910

= 30 / 591

= 30

Step3:

LCM(3, 424) = 1272

GCD(3, 424) = ( 3 x 424 ) / 1272

= 3 / 424

= 3

So, Greatest Common Divisor of 990, 300, 591, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 450, 708, 480
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• GCD of 996, 146, 886, 142

Given numbers are 990, 300, 591, 424
The greatest common divisor of numbers 990, 300, 591, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 300, 591, 424 is 1.

1. What is the GCD of 990, 300, 591, 424?

GCD of given numbers 990, 300, 591, 424 is 1

2. How to calculate the greatest common divisor of 990, 300, 591, 424?

We can find the highest common divisor of 990, 300, 591, 424 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, 300, 591, 424 i.e 1.

3. How can I use the GCD of 990, 300, 591, 424Calculator?

Out the numbers 990, 300, 591, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.