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 821, 145, 41, 411 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 145, 41, 411 is 1
GCD(821, 145, 41, 411) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 145, 41, 411 is 1
GCD(821, 145, 41, 411) = 1
Given Input numbers are 821, 145, 41, 411
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
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 821, 145, 41, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 145, 41, 411 is 1.
Therefore, GCD of numbers 821, 145, 41, 411 is 1
Given Input Data is 821, 145, 41, 411
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 145 is 5 x 29
Prime Factorization of 41 is 41
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(821, 145) = 119045
GCD(821, 145) = ( 821 x 145 ) / 119045
GCD(821, 145) = 119045 / 119045
GCD(821, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 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 821, 145, 41, 411 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 145, 41, 411?
GCD of 821, 145, 41, 411 is 1
2. Where do I get the detailed procedure to find GCD of 821, 145, 41, 411?
You can find a detailed procedure to find GCD of 821, 145, 41, 411 on our page.
3. How to find GCD of 821, 145, 41, 411 on a calculator?
You can find the GCD of 821, 145, 41, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.