GCD of 237, 189, 279, 210 Calculator

Given Input numbers are 237, 189, 279, 210

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

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

Greatest Common Divisior

We found the divisors of 237, 189, 279, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 189, 279, 210 is 3.

Therefore, GCD of numbers 237, 189, 279, 210 is 3

Given Input Data is 237, 189, 279, 210

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 279 is 3 x 3 x 31

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

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(237, 189) = 14931

GCD(237, 189) = ( 237 x 189 ) / 14931

GCD(237, 189) = 44793 / 14931

GCD(237, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 279

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

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

GCD(3, 279) = 837 / 279

GCD(3, 279) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 210

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

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

GCD(3, 210) = 630 / 210

GCD(3, 210) = 3

GCD of 237, 189, 279, 210 is 3

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1. What is the GCD of 237, 189, 279, 210?

GCD of 237, 189, 279, 210 is 3

2. Where do I get the detailed procedure to find GCD of 237, 189, 279, 210?

You can find a detailed procedure to find GCD of 237, 189, 279, 210 on our page.

3. How to find GCD of 237, 189, 279, 210 on a calculator?

You can find the GCD of 237, 189, 279, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.