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 361, 838, 141, 411 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 838, 141, 411 is 1
GCD(361, 838, 141, 411) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 838, 141, 411 is 1
GCD(361, 838, 141, 411) = 1
Given Input numbers are 361, 838, 141, 411
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Greatest Common Divisior
We found the divisors of 361, 838, 141, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 838, 141, 411 is 1.
Therefore, GCD of numbers 361, 838, 141, 411 is 1
Given Input Data is 361, 838, 141, 411
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 838 is 2 x 419
Prime Factorization of 141 is 3 x 47
Prime Factorization of 411 is 3 x 137
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(361, 838) = 302518
GCD(361, 838) = ( 361 x 838 ) / 302518
GCD(361, 838) = 302518 / 302518
GCD(361, 838) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
GCD(1, 141) = 141 / 141
GCD(1, 141) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 411) = 411
GCD(1, 411) = ( 1 x 411 ) / 411
GCD(1, 411) = 411 / 411
GCD(1, 411) = 1
GCD of 361, 838, 141, 411 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 838, 141, 411?
GCD of 361, 838, 141, 411 is 1
2. Where do I get the detailed procedure to find GCD of 361, 838, 141, 411?
You can find a detailed procedure to find GCD of 361, 838, 141, 411 on our page.
3. How to find GCD of 361, 838, 141, 411 on a calculator?
You can find the GCD of 361, 838, 141, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.