GCD of 890, 819, 96, 969 Calculator

Given Input numbers are 890, 819, 96, 969

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 890, 819, 96, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 819, 96, 969 is 1.

Therefore, GCD of numbers 890, 819, 96, 969 is 1

Given Input Data is 890, 819, 96, 969

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 969 is 3 x 17 x 19

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(890, 819) = 728910

GCD(890, 819) = ( 890 x 819 ) / 728910

GCD(890, 819) = 728910 / 728910

GCD(890, 819) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 890, 819, 96, 969 is 1

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1. What is the GCD of 890, 819, 96, 969?

GCD of 890, 819, 96, 969 is 1

2. Where do I get the detailed procedure to find GCD of 890, 819, 96, 969?

You can find a detailed procedure to find GCD of 890, 819, 96, 969 on our page.

3. How to find GCD of 890, 819, 96, 969 on a calculator?

You can find the GCD of 890, 819, 96, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.