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 numbers 29, 936, 942, 116 is 1
GCD(29, 936, 942, 116) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.