GCD of 900, 198, 66, 882 Calculator

Given Input numbers are 900, 198, 66, 882

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Greatest Common Divisior

We found the divisors of 900, 198, 66, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 198, 66, 882 is 6.

Therefore, GCD of numbers 900, 198, 66, 882 is 6

Given Input Data is 900, 198, 66, 882

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

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(900, 198) = 9900

GCD(900, 198) = ( 900 x 198 ) / 9900

GCD(900, 198) = 178200 / 9900

GCD(900, 198) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 66

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

LCM(18, 66) = 198

GCD(18, 66) = ( 18 x 66 ) / 198

GCD(18, 66) = 1188 / 198

GCD(18, 66) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 882

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

LCM(6, 882) = 882

GCD(6, 882) = ( 6 x 882 ) / 882

GCD(6, 882) = 5292 / 882

GCD(6, 882) = 6

GCD of 900, 198, 66, 882 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 766, 52, 476
• GCD of 990, 109, 54, 821
• GCD of 714, 417, 32, 906
• GCD of 762, 445, 63, 938
• GCD of 918, 470, 96, 447

1. What is the GCD of 900, 198, 66, 882?

GCD of 900, 198, 66, 882 is 6

2. Where do I get the detailed procedure to find GCD of 900, 198, 66, 882?

You can find a detailed procedure to find GCD of 900, 198, 66, 882 on our page.

3. How to find GCD of 900, 198, 66, 882 on a calculator?

You can find the GCD of 900, 198, 66, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.