GCD of 990, 405, 100, 849 Calculator

Given Input numbers are 990, 405, 100, 849

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 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (990, 405, 100, 849) = 1.

Given numbers are 990, 405, 100, 849

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 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 849 are 3 x 283

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

Given numbers are 990, 405, 100, 849

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

Apply this formula for all numbers.

Step1:

LCM(990, 405) = 8910

GCD(990, 405) = ( 990 x 405 ) / 8910

= 990 / 405

= 990

Step2:

LCM(45, 100) = 900

GCD(45, 100) = ( 45 x 100 ) / 900

= 45 / 100

= 45

Step3:

LCM(5, 849) = 4245

GCD(5, 849) = ( 5 x 849 ) / 4245

= 5 / 849

= 5

So, Greatest Common Divisor of 990, 405, 100, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 397, 601, 444
• GCD of 255, 247, 518, 387
• GCD of 844, 910, 237, 299
• GCD of 526, 611, 786, 671
• GCD of 158, 686, 375, 922

Given numbers are 990, 405, 100, 849
The greatest common divisor of numbers 990, 405, 100, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 405, 100, 849 is 1.

1. What is the GCD of 990, 405, 100, 849?

GCD of given numbers 990, 405, 100, 849 is 1

2. How to calculate the greatest common divisor of 990, 405, 100, 849?

We can find the highest common divisor of 990, 405, 100, 849 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, 405, 100, 849 i.e 1.

3. How can I use the GCD of 990, 405, 100, 849Calculator?

Out the numbers 990, 405, 100, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.