GCD of 178, 422, 109, 901 Calculator

Given Input numbers are 178, 422, 109, 901

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 178, 422, 109, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 422, 109, 901 is 1.

Therefore, GCD of numbers 178, 422, 109, 901 is 1

Given Input Data is 178, 422, 109, 901

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 422 is 2 x 211

Prime Factorization of 109 is 109

Prime Factorization of 901 is 17 x 53

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(178, 422) = 37558

GCD(178, 422) = ( 178 x 422 ) / 37558

GCD(178, 422) = 75116 / 37558

GCD(178, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 178, 422, 109, 901 is 1

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1. What is the GCD of 178, 422, 109, 901?

GCD of 178, 422, 109, 901 is 1

2. Where do I get the detailed procedure to find GCD of 178, 422, 109, 901?

You can find a detailed procedure to find GCD of 178, 422, 109, 901 on our page.

3. How to find GCD of 178, 422, 109, 901 on a calculator?

You can find the GCD of 178, 422, 109, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.