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, 606, 390, 474 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 606, 390, 474 is 1
GCD(31, 606, 390, 474) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 606, 390, 474 is 1
GCD(31, 606, 390, 474) = 1
Given Input numbers are 31, 606, 390, 474
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 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Greatest Common Divisior
We found the divisors of 31, 606, 390, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 606, 390, 474 is 1.
Therefore, GCD of numbers 31, 606, 390, 474 is 1
Given Input Data is 31, 606, 390, 474
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 606 is 2 x 3 x 101
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 474 is 2 x 3 x 79
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, 606) = 18786
GCD(31, 606) = ( 31 x 606 ) / 18786
GCD(31, 606) = 18786 / 18786
GCD(31, 606) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
GCD(1, 474) = 474 / 474
GCD(1, 474) = 1
GCD of 31, 606, 390, 474 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 606, 390, 474?
GCD of 31, 606, 390, 474 is 1
2. Where do I get the detailed procedure to find GCD of 31, 606, 390, 474?
You can find a detailed procedure to find GCD of 31, 606, 390, 474 on our page.
3. How to find GCD of 31, 606, 390, 474 on a calculator?
You can find the GCD of 31, 606, 390, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.