GCD of 996, 926, 349, 579 Calculator

Given Input numbers are 996, 926, 349, 579

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

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 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 996, 926, 349, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 926, 349, 579 is 1.

Therefore, GCD of numbers 996, 926, 349, 579 is 1

Given Input Data is 996, 926, 349, 579

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

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

Prime Factorization of 926 is 2 x 463

Prime Factorization of 349 is 349

Prime Factorization of 579 is 3 x 193

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(996, 926) = 461148

GCD(996, 926) = ( 996 x 926 ) / 461148

GCD(996, 926) = 922296 / 461148

GCD(996, 926) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 349

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

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

GCD(2, 349) = 698 / 698

GCD(2, 349) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

GCD of 996, 926, 349, 579 is 1

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1. What is the GCD of 996, 926, 349, 579?

GCD of 996, 926, 349, 579 is 1

2. Where do I get the detailed procedure to find GCD of 996, 926, 349, 579?

You can find a detailed procedure to find GCD of 996, 926, 349, 579 on our page.

3. How to find GCD of 996, 926, 349, 579 on a calculator?

You can find the GCD of 996, 926, 349, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.