GCD of 207, 164, 467, 312 Calculator

Given Input numbers are 207, 164, 467, 312

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

Divisors of 207

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

1, 3, 9, 23, 69, 207

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 207, 164, 467, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 164, 467, 312 is 1.

Therefore, GCD of numbers 207, 164, 467, 312 is 1

Given Input Data is 207, 164, 467, 312

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 467 is 467

Prime Factorization of 312 is 2 x 2 x 2 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(207, 164) = 33948

GCD(207, 164) = ( 207 x 164 ) / 33948

GCD(207, 164) = 33948 / 33948

GCD(207, 164) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 207, 164, 467, 312 is 1

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1. What is the GCD of 207, 164, 467, 312?

GCD of 207, 164, 467, 312 is 1

2. Where do I get the detailed procedure to find GCD of 207, 164, 467, 312?

You can find a detailed procedure to find GCD of 207, 164, 467, 312 on our page.

3. How to find GCD of 207, 164, 467, 312 on a calculator?

You can find the GCD of 207, 164, 467, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.