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 37, 382, 508, 306 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 382, 508, 306 is 1
GCD(37, 382, 508, 306) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 382, 508, 306 is 1
GCD(37, 382, 508, 306) = 1
Given Input numbers are 37, 382, 508, 306
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Greatest Common Divisior
We found the divisors of 37, 382, 508, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 382, 508, 306 is 1.
Therefore, GCD of numbers 37, 382, 508, 306 is 1
Given Input Data is 37, 382, 508, 306
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 382 is 2 x 191
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 306 is 2 x 3 x 3 x 17
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(37, 382) = 14134
GCD(37, 382) = ( 37 x 382 ) / 14134
GCD(37, 382) = 14134 / 14134
GCD(37, 382) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
GCD(1, 508) = 508 / 508
GCD(1, 508) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
GCD(1, 306) = 306 / 306
GCD(1, 306) = 1
GCD of 37, 382, 508, 306 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 382, 508, 306?
GCD of 37, 382, 508, 306 is 1
2. Where do I get the detailed procedure to find GCD of 37, 382, 508, 306?
You can find a detailed procedure to find GCD of 37, 382, 508, 306 on our page.
3. How to find GCD of 37, 382, 508, 306 on a calculator?
You can find the GCD of 37, 382, 508, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.