GCD of 12, 102, 642, 990 Calculator

Given Input numbers are 12, 102, 642, 990

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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 12, 102, 642, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 102, 642, 990 is 6.

Therefore, GCD of numbers 12, 102, 642, 990 is 6

Given Input Data is 12, 102, 642, 990

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 642 is 2 x 3 x 107

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(12, 102) = 204

GCD(12, 102) = ( 12 x 102 ) / 204

GCD(12, 102) = 1224 / 204

GCD(12, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 642

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

LCM(6, 642) = 642

GCD(6, 642) = ( 6 x 642 ) / 642

GCD(6, 642) = 3852 / 642

GCD(6, 642) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 990

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

LCM(6, 990) = 990

GCD(6, 990) = ( 6 x 990 ) / 990

GCD(6, 990) = 5940 / 990

GCD(6, 990) = 6

GCD of 12, 102, 642, 990 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 315, 141, 902
• GCD of 60, 670, 814, 990
• GCD of 59, 501, 801, 484
• GCD of 51, 964, 585, 806
• GCD of 83, 976, 276, 544

1. What is the GCD of 12, 102, 642, 990?

GCD of 12, 102, 642, 990 is 6

2. Where do I get the detailed procedure to find GCD of 12, 102, 642, 990?

You can find a detailed procedure to find GCD of 12, 102, 642, 990 on our page.

3. How to find GCD of 12, 102, 642, 990 on a calculator?

You can find the GCD of 12, 102, 642, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.