GCD of 311, 418, 29, 356 Calculator

Given Input numbers are 311, 418, 29, 356

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

Divisors of 311

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

1, 311

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 356

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

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 311, 418, 29, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 418, 29, 356 is 1.

Therefore, GCD of numbers 311, 418, 29, 356 is 1

Given Input Data is 311, 418, 29, 356

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

Prime Factorization of 311 is 311

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 29 is 29

Prime Factorization of 356 is 2 x 2 x 89

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(311, 418) = 129998

GCD(311, 418) = ( 311 x 418 ) / 129998

GCD(311, 418) = 129998 / 129998

GCD(311, 418) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 311, 418, 29, 356 is 1

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• GCD of 629, 666, 22, 762
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• GCD of 754, 989, 38, 516

1. What is the GCD of 311, 418, 29, 356?

GCD of 311, 418, 29, 356 is 1

2. Where do I get the detailed procedure to find GCD of 311, 418, 29, 356?

You can find a detailed procedure to find GCD of 311, 418, 29, 356 on our page.

3. How to find GCD of 311, 418, 29, 356 on a calculator?

You can find the GCD of 311, 418, 29, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.