GCD of 362, 271, 311, 106 Calculator

Given Input numbers are 362, 271, 311, 106

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 271

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

1, 271

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 362, 271, 311, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 271, 311, 106 is 1.

Therefore, GCD of numbers 362, 271, 311, 106 is 1

Given Input Data is 362, 271, 311, 106

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 271 is 271

Prime Factorization of 311 is 311

Prime Factorization of 106 is 2 x 53

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(362, 271) = 98102

GCD(362, 271) = ( 362 x 271 ) / 98102

GCD(362, 271) = 98102 / 98102

GCD(362, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 362, 271, 311, 106 is 1

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1. What is the GCD of 362, 271, 311, 106?

GCD of 362, 271, 311, 106 is 1

2. Where do I get the detailed procedure to find GCD of 362, 271, 311, 106?

You can find a detailed procedure to find GCD of 362, 271, 311, 106 on our page.

3. How to find GCD of 362, 271, 311, 106 on a calculator?

You can find the GCD of 362, 271, 311, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.