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 11, 3, 38, 66 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 3, 38, 66 is 1
GCD(11, 3, 38, 66) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 3, 38, 66 is 1
GCD(11, 3, 38, 66) = 1
Given Input numbers are 11, 3, 38, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 3
List of positive integer divisors of 3 that divides 3 without a remainder.
1, 3
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 11, 3, 38, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 3, 38, 66 is 1.
Therefore, GCD of numbers 11, 3, 38, 66 is 1
Given Input Data is 11, 3, 38, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 3 is 3
Prime Factorization of 38 is 2 x 19
Prime Factorization of 66 is 2 x 3 x 11
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(11, 3) = 33
GCD(11, 3) = ( 11 x 3 ) / 33
GCD(11, 3) = 33 / 33
GCD(11, 3) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
GCD of 11, 3, 38, 66 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 3, 38, 66?
GCD of 11, 3, 38, 66 is 1
2. Where do I get the detailed procedure to find GCD of 11, 3, 38, 66?
You can find a detailed procedure to find GCD of 11, 3, 38, 66 on our page.
3. How to find GCD of 11, 3, 38, 66 on a calculator?
You can find the GCD of 11, 3, 38, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.