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 135, 221, 82, 386 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 221, 82, 386 is 1
GCD(135, 221, 82, 386) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 221, 82, 386 is 1
GCD(135, 221, 82, 386) = 1
Given Input numbers are 135, 221, 82, 386
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 135, 221, 82, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 221, 82, 386 is 1.
Therefore, GCD of numbers 135, 221, 82, 386 is 1
Given Input Data is 135, 221, 82, 386
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 221 is 13 x 17
Prime Factorization of 82 is 2 x 41
Prime Factorization of 386 is 2 x 193
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(135, 221) = 29835
GCD(135, 221) = ( 135 x 221 ) / 29835
GCD(135, 221) = 29835 / 29835
GCD(135, 221) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
GCD of 135, 221, 82, 386 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 221, 82, 386?
GCD of 135, 221, 82, 386 is 1
2. Where do I get the detailed procedure to find GCD of 135, 221, 82, 386?
You can find a detailed procedure to find GCD of 135, 221, 82, 386 on our page.
3. How to find GCD of 135, 221, 82, 386 on a calculator?
You can find the GCD of 135, 221, 82, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.