GCD of 171, 356, 237, 289 Calculator

Given Input numbers are 171, 356, 237, 289

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 356

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

1, 2, 4, 89, 178, 356

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 171, 356, 237, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 356, 237, 289 is 1.

Therefore, GCD of numbers 171, 356, 237, 289 is 1

Given Input Data is 171, 356, 237, 289

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 237 is 3 x 79

Prime Factorization of 289 is 17 x 17

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(171, 356) = 60876

GCD(171, 356) = ( 171 x 356 ) / 60876

GCD(171, 356) = 60876 / 60876

GCD(171, 356) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 237

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

LCM(1, 237) = 237

GCD(1, 237) = ( 1 x 237 ) / 237

GCD(1, 237) = 237 / 237

GCD(1, 237) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 171, 356, 237, 289 is 1

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1. What is the GCD of 171, 356, 237, 289?

GCD of 171, 356, 237, 289 is 1

2. Where do I get the detailed procedure to find GCD of 171, 356, 237, 289?

You can find a detailed procedure to find GCD of 171, 356, 237, 289 on our page.

3. How to find GCD of 171, 356, 237, 289 on a calculator?

You can find the GCD of 171, 356, 237, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.