GCD of 996, 215, 829, 889 Calculator

Given Input numbers are 996, 215, 829, 889

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

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

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 996, 215, 829, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 215, 829, 889 is 1.

Therefore, GCD of numbers 996, 215, 829, 889 is 1

Given Input Data is 996, 215, 829, 889

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

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 215 is 5 x 43

Prime Factorization of 829 is 829

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(996, 215) = 214140

GCD(996, 215) = ( 996 x 215 ) / 214140

GCD(996, 215) = 214140 / 214140

GCD(996, 215) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 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 996, 215, 829, 889 is 1

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1. What is the GCD of 996, 215, 829, 889?

GCD of 996, 215, 829, 889 is 1

2. Where do I get the detailed procedure to find GCD of 996, 215, 829, 889?

You can find a detailed procedure to find GCD of 996, 215, 829, 889 on our page.

3. How to find GCD of 996, 215, 829, 889 on a calculator?

You can find the GCD of 996, 215, 829, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.