GCD of 238, 172, 891, 406 Calculator

Given Input numbers are 238, 172, 891, 406

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 238, 172, 891, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 172, 891, 406 is 1.

Therefore, GCD of numbers 238, 172, 891, 406 is 1

Given Input Data is 238, 172, 891, 406

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 406 is 2 x 7 x 29

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(238, 172) = 20468

GCD(238, 172) = ( 238 x 172 ) / 20468

GCD(238, 172) = 40936 / 20468

GCD(238, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

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

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 238, 172, 891, 406 is 1

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1. What is the GCD of 238, 172, 891, 406?

GCD of 238, 172, 891, 406 is 1

2. Where do I get the detailed procedure to find GCD of 238, 172, 891, 406?

You can find a detailed procedure to find GCD of 238, 172, 891, 406 on our page.

3. How to find GCD of 238, 172, 891, 406 on a calculator?

You can find the GCD of 238, 172, 891, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.