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 214, 236, 384, 811 i.e. 1 largest integer that divides all the numbers equally.
GCD of 214, 236, 384, 811 is 1
GCD(214, 236, 384, 811) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 214, 236, 384, 811 is 1
GCD(214, 236, 384, 811) = 1
Given Input numbers are 214, 236, 384, 811
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Greatest Common Divisior
We found the divisors of 214, 236, 384, 811 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 236, 384, 811 is 1.
Therefore, GCD of numbers 214, 236, 384, 811 is 1
Given Input Data is 214, 236, 384, 811
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 214 is 2 x 107
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 811 is 811
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(214, 236) = 25252
GCD(214, 236) = ( 214 x 236 ) / 25252
GCD(214, 236) = 50504 / 25252
GCD(214, 236) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
GCD(2, 384) = 768 / 384
GCD(2, 384) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 811
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 811) = 1622
GCD(2, 811) = ( 2 x 811 ) / 1622
GCD(2, 811) = 1622 / 1622
GCD(2, 811) = 1
GCD of 214, 236, 384, 811 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 214, 236, 384, 811?
GCD of 214, 236, 384, 811 is 1
2. Where do I get the detailed procedure to find GCD of 214, 236, 384, 811?
You can find a detailed procedure to find GCD of 214, 236, 384, 811 on our page.
3. How to find GCD of 214, 236, 384, 811 on a calculator?
You can find the GCD of 214, 236, 384, 811 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.