GCD of 994, 888, 29, 820 Calculator

Given Input numbers are 994, 888, 29, 820

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

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 994, 888, 29, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 888, 29, 820 is 1.

Therefore, GCD of numbers 994, 888, 29, 820 is 1

Given Input Data is 994, 888, 29, 820

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 29 is 29

Prime Factorization of 820 is 2 x 2 x 5 x 41

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(994, 888) = 441336

GCD(994, 888) = ( 994 x 888 ) / 441336

GCD(994, 888) = 882672 / 441336

GCD(994, 888) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 994, 888, 29, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 805, 62, 637
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• GCD of 292, 154, 67, 619
• GCD of 955, 986, 28, 358

1. What is the GCD of 994, 888, 29, 820?

GCD of 994, 888, 29, 820 is 1

2. Where do I get the detailed procedure to find GCD of 994, 888, 29, 820?

You can find a detailed procedure to find GCD of 994, 888, 29, 820 on our page.

3. How to find GCD of 994, 888, 29, 820 on a calculator?

You can find the GCD of 994, 888, 29, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.