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 412, 836, 90, 511 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 836, 90, 511 is 1
GCD(412, 836, 90, 511) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 836, 90, 511 is 1
GCD(412, 836, 90, 511) = 1
Given Input numbers are 412, 836, 90, 511
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Greatest Common Divisior
We found the divisors of 412, 836, 90, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 836, 90, 511 is 1.
Therefore, GCD of numbers 412, 836, 90, 511 is 1
Given Input Data is 412, 836, 90, 511
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 511 is 7 x 73
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(412, 836) = 86108
GCD(412, 836) = ( 412 x 836 ) / 86108
GCD(412, 836) = 344432 / 86108
GCD(412, 836) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 90) = 180
GCD(4, 90) = ( 4 x 90 ) / 180
GCD(4, 90) = 360 / 180
GCD(4, 90) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 511) = 1022
GCD(2, 511) = ( 2 x 511 ) / 1022
GCD(2, 511) = 1022 / 1022
GCD(2, 511) = 1
GCD of 412, 836, 90, 511 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 836, 90, 511?
GCD of 412, 836, 90, 511 is 1
2. Where do I get the detailed procedure to find GCD of 412, 836, 90, 511?
You can find a detailed procedure to find GCD of 412, 836, 90, 511 on our page.
3. How to find GCD of 412, 836, 90, 511 on a calculator?
You can find the GCD of 412, 836, 90, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.