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 416, 108, 241, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 416, 108, 241, 501 is 1
GCD(416, 108, 241, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 416, 108, 241, 501 is 1
GCD(416, 108, 241, 501) = 1
Given Input numbers are 416, 108, 241, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 416, 108, 241, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 108, 241, 501 is 1.
Therefore, GCD of numbers 416, 108, 241, 501 is 1
Given Input Data is 416, 108, 241, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 241 is 241
Prime Factorization of 501 is 3 x 167
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(416, 108) = 11232
GCD(416, 108) = ( 416 x 108 ) / 11232
GCD(416, 108) = 44928 / 11232
GCD(416, 108) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 241) = 964
GCD(4, 241) = ( 4 x 241 ) / 964
GCD(4, 241) = 964 / 964
GCD(4, 241) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 416, 108, 241, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 416, 108, 241, 501?
GCD of 416, 108, 241, 501 is 1
2. Where do I get the detailed procedure to find GCD of 416, 108, 241, 501?
You can find a detailed procedure to find GCD of 416, 108, 241, 501 on our page.
3. How to find GCD of 416, 108, 241, 501 on a calculator?
You can find the GCD of 416, 108, 241, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.