GCD of 971, 187, 81, 424 Calculator

Given Input numbers are 971, 187, 81, 424

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 971, 187, 81, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 187, 81, 424 is 1.

Therefore, GCD of numbers 971, 187, 81, 424 is 1

Given Input Data is 971, 187, 81, 424

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

Prime Factorization of 971 is 971

Prime Factorization of 187 is 11 x 17

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 424 is 2 x 2 x 2 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(971, 187) = 181577

GCD(971, 187) = ( 971 x 187 ) / 181577

GCD(971, 187) = 181577 / 181577

GCD(971, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 971, 187, 81, 424 is 1

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1. What is the GCD of 971, 187, 81, 424?

GCD of 971, 187, 81, 424 is 1

2. Where do I get the detailed procedure to find GCD of 971, 187, 81, 424?

You can find a detailed procedure to find GCD of 971, 187, 81, 424 on our page.

3. How to find GCD of 971, 187, 81, 424 on a calculator?

You can find the GCD of 971, 187, 81, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.