GCD of 29, 885, 916, 361 Calculator

Given Input numbers are 29, 885, 916, 361

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

Divisors of 29

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

1, 29

Divisors of 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 29, 885, 916, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 885, 916, 361 is 1.

Therefore, GCD of numbers 29, 885, 916, 361 is 1

Given Input Data is 29, 885, 916, 361

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

Prime Factorization of 29 is 29

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 361 is 19 x 19

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(29, 885) = 25665

GCD(29, 885) = ( 29 x 885 ) / 25665

GCD(29, 885) = 25665 / 25665

GCD(29, 885) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 29, 885, 916, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 596, 127, 438
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• GCD of 55, 262, 121, 158
• GCD of 23, 382, 241, 376
• GCD of 79, 909, 614, 941

1. What is the GCD of 29, 885, 916, 361?

GCD of 29, 885, 916, 361 is 1

2. Where do I get the detailed procedure to find GCD of 29, 885, 916, 361?

You can find a detailed procedure to find GCD of 29, 885, 916, 361 on our page.

3. How to find GCD of 29, 885, 916, 361 on a calculator?

You can find the GCD of 29, 885, 916, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.