GCD of 341, 194, 456, 231 Calculator

Given Input numbers are 341, 194, 456, 231

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

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 341, 194, 456, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 194, 456, 231 is 1.

Therefore, GCD of numbers 341, 194, 456, 231 is 1

Given Input Data is 341, 194, 456, 231

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

Prime Factorization of 341 is 11 x 31

Prime Factorization of 194 is 2 x 97

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 231 is 3 x 7 x 11

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(341, 194) = 66154

GCD(341, 194) = ( 341 x 194 ) / 66154

GCD(341, 194) = 66154 / 66154

GCD(341, 194) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 341, 194, 456, 231 is 1

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1. What is the GCD of 341, 194, 456, 231?

GCD of 341, 194, 456, 231 is 1

2. Where do I get the detailed procedure to find GCD of 341, 194, 456, 231?

You can find a detailed procedure to find GCD of 341, 194, 456, 231 on our page.

3. How to find GCD of 341, 194, 456, 231 on a calculator?

You can find the GCD of 341, 194, 456, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.