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 131, 940, 928, 234 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 940, 928, 234 is 1
GCD(131, 940, 928, 234) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 940, 928, 234 is 1
GCD(131, 940, 928, 234) = 1
Given Input numbers are 131, 940, 928, 234
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Greatest Common Divisior
We found the divisors of 131, 940, 928, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 940, 928, 234 is 1.
Therefore, GCD of numbers 131, 940, 928, 234 is 1
Given Input Data is 131, 940, 928, 234
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 234 is 2 x 3 x 3 x 13
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(131, 940) = 123140
GCD(131, 940) = ( 131 x 940 ) / 123140
GCD(131, 940) = 123140 / 123140
GCD(131, 940) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
GCD of 131, 940, 928, 234 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 940, 928, 234?
GCD of 131, 940, 928, 234 is 1
2. Where do I get the detailed procedure to find GCD of 131, 940, 928, 234?
You can find a detailed procedure to find GCD of 131, 940, 928, 234 on our page.
3. How to find GCD of 131, 940, 928, 234 on a calculator?
You can find the GCD of 131, 940, 928, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.