GCD of 29, 921, 872, 798 Calculator

Given Input numbers are 29, 921, 872, 798

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 921

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

1, 3, 307, 921

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 29, 921, 872, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 921, 872, 798 is 1.

Therefore, GCD of numbers 29, 921, 872, 798 is 1

Given Input Data is 29, 921, 872, 798

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

Prime Factorization of 29 is 29

Prime Factorization of 921 is 3 x 307

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 798 is 2 x 3 x 7 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, 921) = 26709

GCD(29, 921) = ( 29 x 921 ) / 26709

GCD(29, 921) = 26709 / 26709

GCD(29, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 29, 921, 872, 798 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 571, 983, 726
• GCD of 86, 666, 476, 659
• GCD of 39, 229, 543, 129
• GCD of 95, 869, 858, 304
• GCD of 73, 659, 702, 841

1. What is the GCD of 29, 921, 872, 798?

GCD of 29, 921, 872, 798 is 1

2. Where do I get the detailed procedure to find GCD of 29, 921, 872, 798?

You can find a detailed procedure to find GCD of 29, 921, 872, 798 on our page.

3. How to find GCD of 29, 921, 872, 798 on a calculator?

You can find the GCD of 29, 921, 872, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.