GCD of 928, 683, 21, 997 Calculator

Given Input numbers are 928, 683, 21, 997

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 928, 683, 21, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 683, 21, 997 is 1.

Therefore, GCD of numbers 928, 683, 21, 997 is 1

Given Input Data is 928, 683, 21, 997

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 683 is 683

Prime Factorization of 21 is 3 x 7

Prime Factorization of 997 is 997

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(928, 683) = 633824

GCD(928, 683) = ( 928 x 683 ) / 633824

GCD(928, 683) = 633824 / 633824

GCD(928, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 928, 683, 21, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 152, 78, 763
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1. What is the GCD of 928, 683, 21, 997?

GCD of 928, 683, 21, 997 is 1

2. Where do I get the detailed procedure to find GCD of 928, 683, 21, 997?

You can find a detailed procedure to find GCD of 928, 683, 21, 997 on our page.

3. How to find GCD of 928, 683, 21, 997 on a calculator?

You can find the GCD of 928, 683, 21, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.