GCD of 993, 588, 819, 920 Calculator

Given Input numbers are 993, 588, 819, 920

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (993, 588, 819, 920) = 1.

Given numbers are 993, 588, 819, 920

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 993, 588, 819, 920

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

Apply this formula for all numbers.

Step1:

LCM(993, 588) = 194628

GCD(993, 588) = ( 993 x 588 ) / 194628

= 993 / 588

= 993

Step2:

LCM(3, 819) = 819

GCD(3, 819) = ( 3 x 819 ) / 819

= 3 / 819

= 3

Step3:

LCM(3, 920) = 2760

GCD(3, 920) = ( 3 x 920 ) / 2760

= 3 / 920

= 3

So, Greatest Common Divisor of 993, 588, 819, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 171, 746, 718
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Given numbers are 993, 588, 819, 920
The greatest common divisor of numbers 993, 588, 819, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 588, 819, 920 is 1.

1. What is the GCD of 993, 588, 819, 920?

GCD of given numbers 993, 588, 819, 920 is 1

2. How to calculate the greatest common divisor of 993, 588, 819, 920?

We can find the highest common divisor of 993, 588, 819, 920 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 993, 588, 819, 920 i.e 1.

3. How can I use the GCD of 993, 588, 819, 920Calculator?

Out the numbers 993, 588, 819, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.