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 60, 808, 418, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 808, 418, 441 is 1
GCD(60, 808, 418, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 808, 418, 441 is 1
GCD(60, 808, 418, 441) = 1
Given Input numbers are 60, 808, 418, 441
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Greatest Common Divisior
We found the divisors of 60, 808, 418, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 808, 418, 441 is 1.
Therefore, GCD of numbers 60, 808, 418, 441 is 1
Given Input Data is 60, 808, 418, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 441 is 3 x 3 x 7 x 7
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(60, 808) = 12120
GCD(60, 808) = ( 60 x 808 ) / 12120
GCD(60, 808) = 48480 / 12120
GCD(60, 808) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 418
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 418) = 836
GCD(4, 418) = ( 4 x 418 ) / 836
GCD(4, 418) = 1672 / 836
GCD(4, 418) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 441) = 882
GCD(2, 441) = ( 2 x 441 ) / 882
GCD(2, 441) = 882 / 882
GCD(2, 441) = 1
GCD of 60, 808, 418, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 808, 418, 441?
GCD of 60, 808, 418, 441 is 1
2. Where do I get the detailed procedure to find GCD of 60, 808, 418, 441?
You can find a detailed procedure to find GCD of 60, 808, 418, 441 on our page.
3. How to find GCD of 60, 808, 418, 441 on a calculator?
You can find the GCD of 60, 808, 418, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.