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, 582, 259, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 836, 582, 259, 345 is 1
GCD(836, 582, 259, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 582, 259, 345 is 1
GCD(836, 582, 259, 345) = 1
Given Input numbers are 836, 582, 259, 345
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 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 836, 582, 259, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 582, 259, 345 is 1.
Therefore, GCD of numbers 836, 582, 259, 345 is 1
Given Input Data is 836, 582, 259, 345
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 582 is 2 x 3 x 97
Prime Factorization of 259 is 7 x 37
Prime Factorization of 345 is 3 x 5 x 23
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, 582) = 243276
GCD(836, 582) = ( 836 x 582 ) / 243276
GCD(836, 582) = 486552 / 243276
GCD(836, 582) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 259) = 518
GCD(2, 259) = ( 2 x 259 ) / 518
GCD(2, 259) = 518 / 518
GCD(2, 259) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 836, 582, 259, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 582, 259, 345?
GCD of 836, 582, 259, 345 is 1
2. Where do I get the detailed procedure to find GCD of 836, 582, 259, 345?
You can find a detailed procedure to find GCD of 836, 582, 259, 345 on our page.
3. How to find GCD of 836, 582, 259, 345 on a calculator?
You can find the GCD of 836, 582, 259, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.