GCD of 209, 306, 466, 764 Calculator

Given Input numbers are 209, 306, 466, 764

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

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

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 209, 306, 466, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 306, 466, 764 is 1.

Therefore, GCD of numbers 209, 306, 466, 764 is 1

Given Input Data is 209, 306, 466, 764

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

Prime Factorization of 209 is 11 x 19

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

Prime Factorization of 466 is 2 x 233

Prime Factorization of 764 is 2 x 2 x 191

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(209, 306) = 63954

GCD(209, 306) = ( 209 x 306 ) / 63954

GCD(209, 306) = 63954 / 63954

GCD(209, 306) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 209, 306, 466, 764 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 831, 812, 865
• GCD of 214, 826, 835, 958
• GCD of 578, 919, 128, 433
• GCD of 651, 404, 461, 307
• GCD of 249, 962, 651, 457

1. What is the GCD of 209, 306, 466, 764?

GCD of 209, 306, 466, 764 is 1

2. Where do I get the detailed procedure to find GCD of 209, 306, 466, 764?

You can find a detailed procedure to find GCD of 209, 306, 466, 764 on our page.

3. How to find GCD of 209, 306, 466, 764 on a calculator?

You can find the GCD of 209, 306, 466, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.