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 826, 814, 367, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 814, 367, 936 is 1
GCD(826, 814, 367, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 814, 367, 936 is 1
GCD(826, 814, 367, 936) = 1
Given Input numbers are 826, 814, 367, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 826, 814, 367, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 814, 367, 936 is 1.
Therefore, GCD of numbers 826, 814, 367, 936 is 1
Given Input Data is 826, 814, 367, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 367 is 367
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(826, 814) = 336182
GCD(826, 814) = ( 826 x 814 ) / 336182
GCD(826, 814) = 672364 / 336182
GCD(826, 814) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 367
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 367) = 734
GCD(2, 367) = ( 2 x 367 ) / 734
GCD(2, 367) = 734 / 734
GCD(2, 367) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 826, 814, 367, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 814, 367, 936?
GCD of 826, 814, 367, 936 is 1
2. Where do I get the detailed procedure to find GCD of 826, 814, 367, 936?
You can find a detailed procedure to find GCD of 826, 814, 367, 936 on our page.
3. How to find GCD of 826, 814, 367, 936 on a calculator?
You can find the GCD of 826, 814, 367, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.