GCD of 221, 314, 126, 181 Calculator

Given Input numbers are 221, 314, 126, 181

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 314

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

1, 2, 157, 314

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 221, 314, 126, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 314, 126, 181 is 1.

Therefore, GCD of numbers 221, 314, 126, 181 is 1

Given Input Data is 221, 314, 126, 181

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 314 is 2 x 157

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 181 is 181

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(221, 314) = 69394

GCD(221, 314) = ( 221 x 314 ) / 69394

GCD(221, 314) = 69394 / 69394

GCD(221, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

GCD of 221, 314, 126, 181 is 1

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• GCD of 806, 241, 839, 467
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1. What is the GCD of 221, 314, 126, 181?

GCD of 221, 314, 126, 181 is 1

2. Where do I get the detailed procedure to find GCD of 221, 314, 126, 181?

You can find a detailed procedure to find GCD of 221, 314, 126, 181 on our page.

3. How to find GCD of 221, 314, 126, 181 on a calculator?

You can find the GCD of 221, 314, 126, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.