GCD of 991, 828, 96, 923 Calculator

Given Input numbers are 991, 828, 96, 923

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 991, 828, 96, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 828, 96, 923 is 1.

Therefore, GCD of numbers 991, 828, 96, 923 is 1

Given Input Data is 991, 828, 96, 923

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

Prime Factorization of 991 is 991

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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

Prime Factorization of 923 is 13 x 71

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(991, 828) = 820548

GCD(991, 828) = ( 991 x 828 ) / 820548

GCD(991, 828) = 820548 / 820548

GCD(991, 828) = 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 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

GCD of 991, 828, 96, 923 is 1

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• GCD of 495, 328, 16, 943
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• GCD of 636, 509, 76, 843

1. What is the GCD of 991, 828, 96, 923?

GCD of 991, 828, 96, 923 is 1

2. Where do I get the detailed procedure to find GCD of 991, 828, 96, 923?

You can find a detailed procedure to find GCD of 991, 828, 96, 923 on our page.

3. How to find GCD of 991, 828, 96, 923 on a calculator?

You can find the GCD of 991, 828, 96, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.