GCD of 106, 414, 213, 271 Calculator

Given Input numbers are 106, 414, 213, 271

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 213

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

1, 3, 71, 213

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 106, 414, 213, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 414, 213, 271 is 1.

Therefore, GCD of numbers 106, 414, 213, 271 is 1

Given Input Data is 106, 414, 213, 271

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 213 is 3 x 71

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(106, 414) = 21942

GCD(106, 414) = ( 106 x 414 ) / 21942

GCD(106, 414) = 43884 / 21942

GCD(106, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 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 106, 414, 213, 271 is 1

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• GCD of 875, 487, 792, 130
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1. What is the GCD of 106, 414, 213, 271?

GCD of 106, 414, 213, 271 is 1

2. Where do I get the detailed procedure to find GCD of 106, 414, 213, 271?

You can find a detailed procedure to find GCD of 106, 414, 213, 271 on our page.

3. How to find GCD of 106, 414, 213, 271 on a calculator?

You can find the GCD of 106, 414, 213, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.