GCD of 993, 460, 921, 826 Calculator

Given Input numbers are 993, 460, 921, 826

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 993, 460, 921, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 460, 921, 826 is 1.

Therefore, GCD of numbers 993, 460, 921, 826 is 1

Given Input Data is 993, 460, 921, 826

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 921 is 3 x 307

Prime Factorization of 826 is 2 x 7 x 59

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(993, 460) = 456780

GCD(993, 460) = ( 993 x 460 ) / 456780

GCD(993, 460) = 456780 / 456780

GCD(993, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 993, 460, 921, 826 is 1

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1. What is the GCD of 993, 460, 921, 826?

GCD of 993, 460, 921, 826 is 1

2. Where do I get the detailed procedure to find GCD of 993, 460, 921, 826?

You can find a detailed procedure to find GCD of 993, 460, 921, 826 on our page.

3. How to find GCD of 993, 460, 921, 826 on a calculator?

You can find the GCD of 993, 460, 921, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.