GCD of 790, 996, 713, 921 Calculator

Given Input numbers are 790, 996, 713, 921

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 921

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

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 790, 996, 713, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 996, 713, 921 is 1.

Therefore, GCD of numbers 790, 996, 713, 921 is 1

Given Input Data is 790, 996, 713, 921

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 713 is 23 x 31

Prime Factorization of 921 is 3 x 307

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(790, 996) = 393420

GCD(790, 996) = ( 790 x 996 ) / 393420

GCD(790, 996) = 786840 / 393420

GCD(790, 996) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

Step3:

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

GCD of 790, 996, 713, 921 is 1

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1. What is the GCD of 790, 996, 713, 921?

GCD of 790, 996, 713, 921 is 1

2. Where do I get the detailed procedure to find GCD of 790, 996, 713, 921?

You can find a detailed procedure to find GCD of 790, 996, 713, 921 on our page.

3. How to find GCD of 790, 996, 713, 921 on a calculator?

You can find the GCD of 790, 996, 713, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.