GCD of 413, 338, 267, 271 Calculator

Given Input numbers are 413, 338, 267, 271

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 267

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

1, 3, 89, 267

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 413, 338, 267, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 338, 267, 271 is 1.

Therefore, GCD of numbers 413, 338, 267, 271 is 1

Given Input Data is 413, 338, 267, 271

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 267 is 3 x 89

Prime Factorization of 271 is 271

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(413, 338) = 139594

GCD(413, 338) = ( 413 x 338 ) / 139594

GCD(413, 338) = 139594 / 139594

GCD(413, 338) = 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 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 413, 338, 267, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 485, 849, 453
• GCD of 896, 630, 518, 396
• GCD of 675, 664, 690, 493
• GCD of 520, 169, 126, 350
• GCD of 273, 202, 287, 563

1. What is the GCD of 413, 338, 267, 271?

GCD of 413, 338, 267, 271 is 1

2. Where do I get the detailed procedure to find GCD of 413, 338, 267, 271?

You can find a detailed procedure to find GCD of 413, 338, 267, 271 on our page.

3. How to find GCD of 413, 338, 267, 271 on a calculator?

You can find the GCD of 413, 338, 267, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.