GCD of 236, 509, 771, 306 Calculator

Given Input numbers are 236, 509, 771, 306

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

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 509

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

1, 509

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 236, 509, 771, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 509, 771, 306 is 1.

Therefore, GCD of numbers 236, 509, 771, 306 is 1

Given Input Data is 236, 509, 771, 306

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 509 is 509

Prime Factorization of 771 is 3 x 257

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(236, 509) = 120124

GCD(236, 509) = ( 236 x 509 ) / 120124

GCD(236, 509) = 120124 / 120124

GCD(236, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 236, 509, 771, 306 is 1

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1. What is the GCD of 236, 509, 771, 306?

GCD of 236, 509, 771, 306 is 1

2. Where do I get the detailed procedure to find GCD of 236, 509, 771, 306?

You can find a detailed procedure to find GCD of 236, 509, 771, 306 on our page.

3. How to find GCD of 236, 509, 771, 306 on a calculator?

You can find the GCD of 236, 509, 771, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.