GCD of 990, 920, 826, 662 Calculator

Given Input numbers are 990, 920, 826, 662

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

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 990, 920, 826, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 920, 826, 662 is 2.

Therefore, GCD of numbers 990, 920, 826, 662 is 2

Given Input Data is 990, 920, 826, 662

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

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 662 is 2 x 331

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(990, 920) = 91080

GCD(990, 920) = ( 990 x 920 ) / 91080

GCD(990, 920) = 910800 / 91080

GCD(990, 920) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 826

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

LCM(10, 826) = 4130

GCD(10, 826) = ( 10 x 826 ) / 4130

GCD(10, 826) = 8260 / 4130

GCD(10, 826) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 662

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

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

GCD(2, 662) = 1324 / 662

GCD(2, 662) = 2

GCD of 990, 920, 826, 662 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 603, 676, 155
• GCD of 411, 642, 242, 948
• GCD of 983, 372, 398, 985
• GCD of 824, 982, 757, 901
• GCD of 494, 842, 603, 385

1. What is the GCD of 990, 920, 826, 662?

GCD of 990, 920, 826, 662 is 2

2. Where do I get the detailed procedure to find GCD of 990, 920, 826, 662?

You can find a detailed procedure to find GCD of 990, 920, 826, 662 on our page.

3. How to find GCD of 990, 920, 826, 662 on a calculator?

You can find the GCD of 990, 920, 826, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.