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, 837, 305, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 837, 305, 605 is 1
GCD(826, 837, 305, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 837, 305, 605 is 1
GCD(826, 837, 305, 605) = 1
Given Input numbers are 826, 837, 305, 605
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 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 826, 837, 305, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 837, 305, 605 is 1.
Therefore, GCD of numbers 826, 837, 305, 605 is 1
Given Input Data is 826, 837, 305, 605
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 837 is 3 x 3 x 3 x 31
Prime Factorization of 305 is 5 x 61
Prime Factorization of 605 is 5 x 11 x 11
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, 837) = 691362
GCD(826, 837) = ( 826 x 837 ) / 691362
GCD(826, 837) = 691362 / 691362
GCD(826, 837) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
GCD of 826, 837, 305, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 837, 305, 605?
GCD of 826, 837, 305, 605 is 1
2. Where do I get the detailed procedure to find GCD of 826, 837, 305, 605?
You can find a detailed procedure to find GCD of 826, 837, 305, 605 on our page.
3. How to find GCD of 826, 837, 305, 605 on a calculator?
You can find the GCD of 826, 837, 305, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.