GCD of 990, 204, 732, 291 Calculator

Given Input numbers are 990, 204, 732, 291

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (990, 204, 732, 291) = 3.

Given numbers are 990, 204, 732, 291

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 204 are 2 x 2 x 3 x 17

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 291 are 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 990, 204, 732, 291 is 3.

Given numbers are 990, 204, 732, 291

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

Apply this formula for all numbers.

Step1:

LCM(990, 204) = 33660

GCD(990, 204) = ( 990 x 204 ) / 33660

= 990 / 204

= 990

Step2:

LCM(6, 732) = 732

GCD(6, 732) = ( 6 x 732 ) / 732

= 6 / 732

= 6

Step3:

LCM(6, 291) = 582

GCD(6, 291) = ( 6 x 291 ) / 582

= 6 / 291

= 6

So, Greatest Common Divisor of 990, 204, 732, 291 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 679, 240, 247
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Given numbers are 990, 204, 732, 291
The greatest common divisor of numbers 990, 204, 732, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 204, 732, 291 is 3.

1. What is the GCD of 990, 204, 732, 291?

GCD of given numbers 990, 204, 732, 291 is 3

2. How to calculate the greatest common divisor of 990, 204, 732, 291?

We can find the highest common divisor of 990, 204, 732, 291 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, 204, 732, 291 i.e 3.

3. How can I use the GCD of 990, 204, 732, 291Calculator?

Out the numbers 990, 204, 732, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.