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 867, 131, 403, 541 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 131, 403, 541 is 1
GCD(867, 131, 403, 541) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 131, 403, 541 is 1
GCD(867, 131, 403, 541) = 1
Given Input numbers are 867, 131, 403, 541
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Greatest Common Divisior
We found the divisors of 867, 131, 403, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 131, 403, 541 is 1.
Therefore, GCD of numbers 867, 131, 403, 541 is 1
Given Input Data is 867, 131, 403, 541
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 131 is 131
Prime Factorization of 403 is 13 x 31
Prime Factorization of 541 is 541
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(867, 131) = 113577
GCD(867, 131) = ( 867 x 131 ) / 113577
GCD(867, 131) = 113577 / 113577
GCD(867, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 403) = 403
GCD(1, 403) = ( 1 x 403 ) / 403
GCD(1, 403) = 403 / 403
GCD(1, 403) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 541
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 541) = 541
GCD(1, 541) = ( 1 x 541 ) / 541
GCD(1, 541) = 541 / 541
GCD(1, 541) = 1
GCD of 867, 131, 403, 541 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 131, 403, 541?
GCD of 867, 131, 403, 541 is 1
2. Where do I get the detailed procedure to find GCD of 867, 131, 403, 541?
You can find a detailed procedure to find GCD of 867, 131, 403, 541 on our page.
3. How to find GCD of 867, 131, 403, 541 on a calculator?
You can find the GCD of 867, 131, 403, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.