GCD of 824, 171, 21, 889 Calculator

Given Input numbers are 824, 171, 21, 889

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 824, 171, 21, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 171, 21, 889 is 1.

Therefore, GCD of numbers 824, 171, 21, 889 is 1

Given Input Data is 824, 171, 21, 889

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 21 is 3 x 7

Prime Factorization of 889 is 7 x 127

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(824, 171) = 140904

GCD(824, 171) = ( 824 x 171 ) / 140904

GCD(824, 171) = 140904 / 140904

GCD(824, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 824, 171, 21, 889 is 1

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1. What is the GCD of 824, 171, 21, 889?

GCD of 824, 171, 21, 889 is 1

2. Where do I get the detailed procedure to find GCD of 824, 171, 21, 889?

You can find a detailed procedure to find GCD of 824, 171, 21, 889 on our page.

3. How to find GCD of 824, 171, 21, 889 on a calculator?

You can find the GCD of 824, 171, 21, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.