GCD of 491, 148, 189, 422 Calculator

Given Input numbers are 491, 148, 189, 422

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 422

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

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 491, 148, 189, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 148, 189, 422 is 1.

Therefore, GCD of numbers 491, 148, 189, 422 is 1

Given Input Data is 491, 148, 189, 422

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

Prime Factorization of 491 is 491

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 422 is 2 x 211

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(491, 148) = 72668

GCD(491, 148) = ( 491 x 148 ) / 72668

GCD(491, 148) = 72668 / 72668

GCD(491, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 491, 148, 189, 422 is 1

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1. What is the GCD of 491, 148, 189, 422?

GCD of 491, 148, 189, 422 is 1

2. Where do I get the detailed procedure to find GCD of 491, 148, 189, 422?

You can find a detailed procedure to find GCD of 491, 148, 189, 422 on our page.

3. How to find GCD of 491, 148, 189, 422 on a calculator?

You can find the GCD of 491, 148, 189, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.