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 836, 214, 83, 848 i.e. 1 largest integer that divides all the numbers equally.
GCD of 836, 214, 83, 848 is 1
GCD(836, 214, 83, 848) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 214, 83, 848 is 1
GCD(836, 214, 83, 848) = 1
Given Input numbers are 836, 214, 83, 848
To find the GCD of numbers using factoring list out all the divisors of each number
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 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Greatest Common Divisior
We found the divisors of 836, 214, 83, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 214, 83, 848 is 1.
Therefore, GCD of numbers 836, 214, 83, 848 is 1
Given Input Data is 836, 214, 83, 848
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 214 is 2 x 107
Prime Factorization of 83 is 83
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
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(836, 214) = 89452
GCD(836, 214) = ( 836 x 214 ) / 89452
GCD(836, 214) = 178904 / 89452
GCD(836, 214) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
GCD(1, 848) = 848 / 848
GCD(1, 848) = 1
GCD of 836, 214, 83, 848 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 214, 83, 848?
GCD of 836, 214, 83, 848 is 1
2. Where do I get the detailed procedure to find GCD of 836, 214, 83, 848?
You can find a detailed procedure to find GCD of 836, 214, 83, 848 on our page.
3. How to find GCD of 836, 214, 83, 848 on a calculator?
You can find the GCD of 836, 214, 83, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.