GCD of 823, 992, 899, 107 Calculator

Given Input numbers are 823, 992, 899, 107

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

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 823, 992, 899, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 992, 899, 107 is 1.

Therefore, GCD of numbers 823, 992, 899, 107 is 1

Given Input Data is 823, 992, 899, 107

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

Prime Factorization of 823 is 823

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 899 is 29 x 31

Prime Factorization of 107 is 107

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(823, 992) = 816416

GCD(823, 992) = ( 823 x 992 ) / 816416

GCD(823, 992) = 816416 / 816416

GCD(823, 992) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 823, 992, 899, 107 is 1

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1. What is the GCD of 823, 992, 899, 107?

GCD of 823, 992, 899, 107 is 1

2. Where do I get the detailed procedure to find GCD of 823, 992, 899, 107?

You can find a detailed procedure to find GCD of 823, 992, 899, 107 on our page.

3. How to find GCD of 823, 992, 899, 107 on a calculator?

You can find the GCD of 823, 992, 899, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.