GCD of 309, 249, 29, 207 Calculator

Given Input numbers are 309, 249, 29, 207

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 309, 249, 29, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 249, 29, 207 is 1.

Therefore, GCD of numbers 309, 249, 29, 207 is 1

Given Input Data is 309, 249, 29, 207

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 249 is 3 x 83

Prime Factorization of 29 is 29

Prime Factorization of 207 is 3 x 3 x 23

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(309, 249) = 25647

GCD(309, 249) = ( 309 x 249 ) / 25647

GCD(309, 249) = 76941 / 25647

GCD(309, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 29

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

LCM(3, 29) = 87

GCD(3, 29) = ( 3 x 29 ) / 87

GCD(3, 29) = 87 / 87

GCD(3, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 309, 249, 29, 207 is 1

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1. What is the GCD of 309, 249, 29, 207?

GCD of 309, 249, 29, 207 is 1

2. Where do I get the detailed procedure to find GCD of 309, 249, 29, 207?

You can find a detailed procedure to find GCD of 309, 249, 29, 207 on our page.

3. How to find GCD of 309, 249, 29, 207 on a calculator?

You can find the GCD of 309, 249, 29, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.