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 38, 812, 940, 606 i.e. 2 largest integer that divides all the numbers equally.
GCD of 38, 812, 940, 606 is 2
GCD(38, 812, 940, 606) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 812, 940, 606 is 2
GCD(38, 812, 940, 606) = 2
Given Input numbers are 38, 812, 940, 606
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Greatest Common Divisior
We found the divisors of 38, 812, 940, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 812, 940, 606 is 2.
Therefore, GCD of numbers 38, 812, 940, 606 is 2
Given Input Data is 38, 812, 940, 606
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 606 is 2 x 3 x 101
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(38, 812) = 15428
GCD(38, 812) = ( 38 x 812 ) / 15428
GCD(38, 812) = 30856 / 15428
GCD(38, 812) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 940) = 940
GCD(2, 940) = ( 2 x 940 ) / 940
GCD(2, 940) = 1880 / 940
GCD(2, 940) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 606) = 606
GCD(2, 606) = ( 2 x 606 ) / 606
GCD(2, 606) = 1212 / 606
GCD(2, 606) = 2
GCD of 38, 812, 940, 606 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 812, 940, 606?
GCD of 38, 812, 940, 606 is 2
2. Where do I get the detailed procedure to find GCD of 38, 812, 940, 606?
You can find a detailed procedure to find GCD of 38, 812, 940, 606 on our page.
3. How to find GCD of 38, 812, 940, 606 on a calculator?
You can find the GCD of 38, 812, 940, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.