GCD of 210, 939, 222, 900 Calculator

Given Input numbers are 210, 939, 222, 900

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

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

Greatest Common Divisior

We found the divisors of 210, 939, 222, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 939, 222, 900 is 3.

Therefore, GCD of numbers 210, 939, 222, 900 is 3

Given Input Data is 210, 939, 222, 900

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 939 is 3 x 313

Prime Factorization of 222 is 2 x 3 x 37

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(210, 939) = 65730

GCD(210, 939) = ( 210 x 939 ) / 65730

GCD(210, 939) = 197190 / 65730

GCD(210, 939) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 222

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

LCM(3, 222) = 222

GCD(3, 222) = ( 3 x 222 ) / 222

GCD(3, 222) = 666 / 222

GCD(3, 222) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 900

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

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

GCD(3, 900) = 2700 / 900

GCD(3, 900) = 3

GCD of 210, 939, 222, 900 is 3

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• GCD of 419, 242, 900, 533

1. What is the GCD of 210, 939, 222, 900?

GCD of 210, 939, 222, 900 is 3

2. Where do I get the detailed procedure to find GCD of 210, 939, 222, 900?

You can find a detailed procedure to find GCD of 210, 939, 222, 900 on our page.

3. How to find GCD of 210, 939, 222, 900 on a calculator?

You can find the GCD of 210, 939, 222, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.