GCD of 264, 206, 622, 117 Calculator

Given Input numbers are 264, 206, 622, 117

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 264, 206, 622, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 206, 622, 117 is 1.

Therefore, GCD of numbers 264, 206, 622, 117 is 1

Given Input Data is 264, 206, 622, 117

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 206 is 2 x 103

Prime Factorization of 622 is 2 x 311

Prime Factorization of 117 is 3 x 3 x 13

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(264, 206) = 27192

GCD(264, 206) = ( 264 x 206 ) / 27192

GCD(264, 206) = 54384 / 27192

GCD(264, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 622

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

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

GCD(2, 622) = 1244 / 622

GCD(2, 622) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 264, 206, 622, 117 is 1

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1. What is the GCD of 264, 206, 622, 117?

GCD of 264, 206, 622, 117 is 1

2. Where do I get the detailed procedure to find GCD of 264, 206, 622, 117?

You can find a detailed procedure to find GCD of 264, 206, 622, 117 on our page.

3. How to find GCD of 264, 206, 622, 117 on a calculator?

You can find the GCD of 264, 206, 622, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.