GCD of 990, 384, 453, 786 Calculator

Given Input numbers are 990, 384, 453, 786

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

GCD of numbers is the greatest common divisor

So, the GCD (990, 384, 453, 786) = 3.

Given numbers are 990, 384, 453, 786

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 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 453 are 3 x 151

Prime factors of 786 are 2 x 3 x 131

The highest common occurrence is 3¹

Therefore, GCD of 990, 384, 453, 786 is 3.

Given numbers are 990, 384, 453, 786

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

Apply this formula for all numbers.

Step1:

LCM(990, 384) = 63360

GCD(990, 384) = ( 990 x 384 ) / 63360

= 990 / 384

= 990

Step2:

LCM(6, 453) = 906

GCD(6, 453) = ( 6 x 453 ) / 906

= 6 / 453

= 6

Step3:

LCM(3, 786) = 786

GCD(3, 786) = ( 3 x 786 ) / 786

= 3 / 786

= 3

So, Greatest Common Divisor of 990, 384, 453, 786 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 346, 242, 218
• GCD of 687, 436, 834, 682
• GCD of 879, 701, 583, 902
• GCD of 223, 791, 115, 800
• GCD of 221, 299, 327, 698

Given numbers are 990, 384, 453, 786
The greatest common divisor of numbers 990, 384, 453, 786 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 384, 453, 786 is 3.

1. What is the GCD of 990, 384, 453, 786?

GCD of given numbers 990, 384, 453, 786 is 3

2. How to calculate the greatest common divisor of 990, 384, 453, 786?

We can find the highest common divisor of 990, 384, 453, 786 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, 384, 453, 786 i.e 3.

3. How can I use the GCD of 990, 384, 453, 786Calculator?

Out the numbers 990, 384, 453, 786 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.