GCD of 29, 936, 942, 116 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 29, 936, 942, 116 i.e. 1 largest integer that divides all the numbers equally.

GCD of 29, 936, 942, 116 is 1

GCD(29, 936, 942, 116) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 29, 936, 942, 116 is 1

GCD(29, 936, 942, 116) = 1

GCD of 29,936,942,116 Calculator

GCDof 29,936,942,116 is 1

Given Input numbers are 29, 936, 942, 116

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 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 29, 936, 942, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 936, 942, 116 is 1.

Therefore, GCD of numbers 29, 936, 942, 116 is 1

Finding GCD of 29, 936, 942, 116 using Prime Factorization

Given Input Data is 29, 936, 942, 116

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

Prime Factorization of 29 is 29

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 116 is 2 x 2 x 29

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 29, 936, 942, 116 using LCM Formula

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, 936) = 27144

GCD(29, 936) = ( 29 x 936 ) / 27144

GCD(29, 936) = 27144 / 27144

GCD(29, 936) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 29, 936, 942, 116 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 29, 936, 942, 116

1. What is the GCD of 29, 936, 942, 116?

GCD of 29, 936, 942, 116 is 1


2. Where do I get the detailed procedure to find GCD of 29, 936, 942, 116?

You can find a detailed procedure to find GCD of 29, 936, 942, 116 on our page.


3. How to find GCD of 29, 936, 942, 116 on a calculator?

You can find the GCD of 29, 936, 942, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.