GCD of 213, 667, 267, 381 Calculator

Given Input numbers are 213, 667, 267, 381

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 213, 667, 267, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 667, 267, 381 is 1.

Therefore, GCD of numbers 213, 667, 267, 381 is 1

Given Input Data is 213, 667, 267, 381

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 667 is 23 x 29

Prime Factorization of 267 is 3 x 89

Prime Factorization of 381 is 3 x 127

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(213, 667) = 142071

GCD(213, 667) = ( 213 x 667 ) / 142071

GCD(213, 667) = 142071 / 142071

GCD(213, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 213, 667, 267, 381 is 1

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1. What is the GCD of 213, 667, 267, 381?

GCD of 213, 667, 267, 381 is 1

2. Where do I get the detailed procedure to find GCD of 213, 667, 267, 381?

You can find a detailed procedure to find GCD of 213, 667, 267, 381 on our page.

3. How to find GCD of 213, 667, 267, 381 on a calculator?

You can find the GCD of 213, 667, 267, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.