GCD of 992, 991, 923, 721 Calculator

Given Input numbers are 992, 991, 923, 721

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

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 991

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

1, 991

Divisors of 923

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

1, 13, 71, 923

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 992, 991, 923, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 991, 923, 721 is 1.

Therefore, GCD of numbers 992, 991, 923, 721 is 1

Given Input Data is 992, 991, 923, 721

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

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

Prime Factorization of 991 is 991

Prime Factorization of 923 is 13 x 71

Prime Factorization of 721 is 7 x 103

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(992, 991) = 983072

GCD(992, 991) = ( 992 x 991 ) / 983072

GCD(992, 991) = 983072 / 983072

GCD(992, 991) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 992, 991, 923, 721 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 992, 991, 923, 721?

GCD of 992, 991, 923, 721 is 1

2. Where do I get the detailed procedure to find GCD of 992, 991, 923, 721?

You can find a detailed procedure to find GCD of 992, 991, 923, 721 on our page.

3. How to find GCD of 992, 991, 923, 721 on a calculator?

You can find the GCD of 992, 991, 923, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.