GCD of 229, 311, 61, 314 Calculator

Given Input numbers are 229, 311, 61, 314

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 311

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

1, 311

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 229, 311, 61, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 311, 61, 314 is 1.

Therefore, GCD of numbers 229, 311, 61, 314 is 1

Given Input Data is 229, 311, 61, 314

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

Prime Factorization of 229 is 229

Prime Factorization of 311 is 311

Prime Factorization of 61 is 61

Prime Factorization of 314 is 2 x 157

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(229, 311) = 71219

GCD(229, 311) = ( 229 x 311 ) / 71219

GCD(229, 311) = 71219 / 71219

GCD(229, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 229, 311, 61, 314 is 1

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1. What is the GCD of 229, 311, 61, 314?

GCD of 229, 311, 61, 314 is 1

2. Where do I get the detailed procedure to find GCD of 229, 311, 61, 314?

You can find a detailed procedure to find GCD of 229, 311, 61, 314 on our page.

3. How to find GCD of 229, 311, 61, 314 on a calculator?

You can find the GCD of 229, 311, 61, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.