GCD of 266, 509, 438, 189 Calculator

Given Input numbers are 266, 509, 438, 189

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 266, 509, 438, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 509, 438, 189 is 1.

Therefore, GCD of numbers 266, 509, 438, 189 is 1

Given Input Data is 266, 509, 438, 189

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 509 is 509

Prime Factorization of 438 is 2 x 3 x 73

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

The above numbers do not have any common prime factor. So GCD is 1

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(266, 509) = 135394

GCD(266, 509) = ( 266 x 509 ) / 135394

GCD(266, 509) = 135394 / 135394

GCD(266, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 266, 509, 438, 189 is 1

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1. What is the GCD of 266, 509, 438, 189?

GCD of 266, 509, 438, 189 is 1

2. Where do I get the detailed procedure to find GCD of 266, 509, 438, 189?

You can find a detailed procedure to find GCD of 266, 509, 438, 189 on our page.

3. How to find GCD of 266, 509, 438, 189 on a calculator?

You can find the GCD of 266, 509, 438, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.