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 411, 993, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 411, 993, 413 is 1
GCD(411, 993, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 411, 993, 413 is 1
GCD(411, 993, 413) = 1
Given Input numbers are 411, 993, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 411, 993, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 411, 993, 413 is 1.
Therefore, GCD of numbers 411, 993, 413 is 1
Given Input Data is 411, 993, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 411 is 3 x 137
Prime Factorization of 993 is 3 x 331
Prime Factorization of 413 is 7 x 59
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(411, 993) = 136041
GCD(411, 993) = ( 411 x 993 ) / 136041
GCD(411, 993) = 408123 / 136041
GCD(411, 993) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 413) = 1239
GCD(3, 413) = ( 3 x 413 ) / 1239
GCD(3, 413) = 1239 / 1239
GCD(3, 413) = 1
GCD of 411, 993, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 411, 993, 413?
GCD of 411, 993, 413 is 1
2. Where do I get the detailed procedure to find GCD of 411, 993, 413?
You can find a detailed procedure to find GCD of 411, 993, 413 on our page.
3. How to find GCD of 411, 993, 413 on a calculator?
You can find the GCD of 411, 993, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.