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 501, 411, 397, 461 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 411, 397, 461 is 1
GCD(501, 411, 397, 461) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 411, 397, 461 is 1
GCD(501, 411, 397, 461) = 1
Given Input numbers are 501, 411, 397, 461
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Greatest Common Divisior
We found the divisors of 501, 411, 397, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 411, 397, 461 is 1.
Therefore, GCD of numbers 501, 411, 397, 461 is 1
Given Input Data is 501, 411, 397, 461
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 411 is 3 x 137
Prime Factorization of 397 is 397
Prime Factorization of 461 is 461
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(501, 411) = 68637
GCD(501, 411) = ( 501 x 411 ) / 68637
GCD(501, 411) = 205911 / 68637
GCD(501, 411) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 397) = 1191
GCD(3, 397) = ( 3 x 397 ) / 1191
GCD(3, 397) = 1191 / 1191
GCD(3, 397) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
GCD(1, 461) = 461 / 461
GCD(1, 461) = 1
GCD of 501, 411, 397, 461 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 411, 397, 461?
GCD of 501, 411, 397, 461 is 1
2. Where do I get the detailed procedure to find GCD of 501, 411, 397, 461?
You can find a detailed procedure to find GCD of 501, 411, 397, 461 on our page.
3. How to find GCD of 501, 411, 397, 461 on a calculator?
You can find the GCD of 501, 411, 397, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.