GCD of 366, 780, 964, 990 Calculator

Given Input numbers are 366, 780, 964, 990

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 366, 780, 964, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 780, 964, 990 is 2.

Therefore, GCD of numbers 366, 780, 964, 990 is 2

Given Input Data is 366, 780, 964, 990

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(366, 780) = 47580

GCD(366, 780) = ( 366 x 780 ) / 47580

GCD(366, 780) = 285480 / 47580

GCD(366, 780) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 964

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

LCM(6, 964) = 2892

GCD(6, 964) = ( 6 x 964 ) / 2892

GCD(6, 964) = 5784 / 2892

GCD(6, 964) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 990

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

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

GCD(2, 990) = 1980 / 990

GCD(2, 990) = 2

GCD of 366, 780, 964, 990 is 2

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1. What is the GCD of 366, 780, 964, 990?

GCD of 366, 780, 964, 990 is 2

2. Where do I get the detailed procedure to find GCD of 366, 780, 964, 990?

You can find a detailed procedure to find GCD of 366, 780, 964, 990 on our page.

3. How to find GCD of 366, 780, 964, 990 on a calculator?

You can find the GCD of 366, 780, 964, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.