GCD of 356, 563, 106, 271 Calculator

Given Input numbers are 356, 563, 106, 271

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 106

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

1, 2, 53, 106

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 356, 563, 106, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 563, 106, 271 is 1.

Therefore, GCD of numbers 356, 563, 106, 271 is 1

Given Input Data is 356, 563, 106, 271

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 563 is 563

Prime Factorization of 106 is 2 x 53

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(356, 563) = 200428

GCD(356, 563) = ( 356 x 563 ) / 200428

GCD(356, 563) = 200428 / 200428

GCD(356, 563) = 1

Step2:

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

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 356, 563, 106, 271 is 1

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1. What is the GCD of 356, 563, 106, 271?

GCD of 356, 563, 106, 271 is 1

2. Where do I get the detailed procedure to find GCD of 356, 563, 106, 271?

You can find a detailed procedure to find GCD of 356, 563, 106, 271 on our page.

3. How to find GCD of 356, 563, 106, 271 on a calculator?

You can find the GCD of 356, 563, 106, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.