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 366, 534, 31, 293 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 534, 31, 293 is 1
GCD(366, 534, 31, 293) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 534, 31, 293 is 1
GCD(366, 534, 31, 293) = 1
Given Input numbers are 366, 534, 31, 293
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Greatest Common Divisior
We found the divisors of 366, 534, 31, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 534, 31, 293 is 1.
Therefore, GCD of numbers 366, 534, 31, 293 is 1
Given Input Data is 366, 534, 31, 293
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 31 is 31
Prime Factorization of 293 is 293
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(366, 534) = 32574
GCD(366, 534) = ( 366 x 534 ) / 32574
GCD(366, 534) = 195444 / 32574
GCD(366, 534) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 31) = 186
GCD(6, 31) = ( 6 x 31 ) / 186
GCD(6, 31) = 186 / 186
GCD(6, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 293) = 293
GCD(1, 293) = ( 1 x 293 ) / 293
GCD(1, 293) = 293 / 293
GCD(1, 293) = 1
GCD of 366, 534, 31, 293 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 534, 31, 293?
GCD of 366, 534, 31, 293 is 1
2. Where do I get the detailed procedure to find GCD of 366, 534, 31, 293?
You can find a detailed procedure to find GCD of 366, 534, 31, 293 on our page.
3. How to find GCD of 366, 534, 31, 293 on a calculator?
You can find the GCD of 366, 534, 31, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.