GCD of 990, 819, 561, 243 Calculator

Given Input numbers are 990, 819, 561, 243

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 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 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

GCD of numbers is the greatest common divisor

So, the GCD (990, 819, 561, 243) = 3.

Given numbers are 990, 819, 561, 243

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 819 are 3 x 3 x 7 x 13

Prime factors of 561 are 3 x 11 x 17

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 990, 819, 561, 243 is 3.

Given numbers are 990, 819, 561, 243

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

Apply this formula for all numbers.

Step1:

LCM(990, 819) = 90090

GCD(990, 819) = ( 990 x 819 ) / 90090

= 990 / 819

= 990

Step2:

LCM(9, 561) = 1683

GCD(9, 561) = ( 9 x 561 ) / 1683

= 9 / 561

= 9

Step3:

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

= 3 / 243

= 3

So, Greatest Common Divisor of 990, 819, 561, 243 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 894, 686, 266
• GCD of 476, 267, 783, 909
• GCD of 523, 607, 666, 679
• GCD of 446, 266, 853, 623
• GCD of 209, 380, 720, 972

Given numbers are 990, 819, 561, 243
The greatest common divisor of numbers 990, 819, 561, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 819, 561, 243 is 3.

1. What is the GCD of 990, 819, 561, 243?

GCD of given numbers 990, 819, 561, 243 is 3

2. How to calculate the greatest common divisor of 990, 819, 561, 243?

We can find the highest common divisor of 990, 819, 561, 243 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, 819, 561, 243 i.e 3.

3. How can I use the GCD of 990, 819, 561, 243Calculator?

Out the numbers 990, 819, 561, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.