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 31, 418, 183, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 418, 183, 146 is 1
GCD(31, 418, 183, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 418, 183, 146 is 1
GCD(31, 418, 183, 146) = 1
Given Input numbers are 31, 418, 183, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 31, 418, 183, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 418, 183, 146 is 1.
Therefore, GCD of numbers 31, 418, 183, 146 is 1
Given Input Data is 31, 418, 183, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 183 is 3 x 61
Prime Factorization of 146 is 2 x 73
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(31, 418) = 12958
GCD(31, 418) = ( 31 x 418 ) / 12958
GCD(31, 418) = 12958 / 12958
GCD(31, 418) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 183
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 183) = 183
GCD(1, 183) = ( 1 x 183 ) / 183
GCD(1, 183) = 183 / 183
GCD(1, 183) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 31, 418, 183, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 418, 183, 146?
GCD of 31, 418, 183, 146 is 1
2. Where do I get the detailed procedure to find GCD of 31, 418, 183, 146?
You can find a detailed procedure to find GCD of 31, 418, 183, 146 on our page.
3. How to find GCD of 31, 418, 183, 146 on a calculator?
You can find the GCD of 31, 418, 183, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.