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 605, 965, 796, 182 i.e. 1 largest integer that divides all the numbers equally.
GCD of 605, 965, 796, 182 is 1
GCD(605, 965, 796, 182) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 605, 965, 796, 182 is 1
GCD(605, 965, 796, 182) = 1
Given Input numbers are 605, 965, 796, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 605, 965, 796, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 965, 796, 182 is 1.
Therefore, GCD of numbers 605, 965, 796, 182 is 1
Given Input Data is 605, 965, 796, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 605 is 5 x 11 x 11
Prime Factorization of 965 is 5 x 193
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 182 is 2 x 7 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(605, 965) = 116765
GCD(605, 965) = ( 605 x 965 ) / 116765
GCD(605, 965) = 583825 / 116765
GCD(605, 965) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 796) = 3980
GCD(5, 796) = ( 5 x 796 ) / 3980
GCD(5, 796) = 3980 / 3980
GCD(5, 796) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 182) = 182
GCD(1, 182) = ( 1 x 182 ) / 182
GCD(1, 182) = 182 / 182
GCD(1, 182) = 1
GCD of 605, 965, 796, 182 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 605, 965, 796, 182?
GCD of 605, 965, 796, 182 is 1
2. Where do I get the detailed procedure to find GCD of 605, 965, 796, 182?
You can find a detailed procedure to find GCD of 605, 965, 796, 182 on our page.
3. How to find GCD of 605, 965, 796, 182 on a calculator?
You can find the GCD of 605, 965, 796, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.