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 59, 838, 796, 427 i.e. 1 largest integer that divides all the numbers equally.
GCD of 59, 838, 796, 427 is 1
GCD(59, 838, 796, 427) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 59, 838, 796, 427 is 1
GCD(59, 838, 796, 427) = 1
Given Input numbers are 59, 838, 796, 427
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Greatest Common Divisior
We found the divisors of 59, 838, 796, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 838, 796, 427 is 1.
Therefore, GCD of numbers 59, 838, 796, 427 is 1
Given Input Data is 59, 838, 796, 427
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 59 is 59
Prime Factorization of 838 is 2 x 419
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 427 is 7 x 61
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(59, 838) = 49442
GCD(59, 838) = ( 59 x 838 ) / 49442
GCD(59, 838) = 49442 / 49442
GCD(59, 838) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 796) = 796
GCD(1, 796) = ( 1 x 796 ) / 796
GCD(1, 796) = 796 / 796
GCD(1, 796) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 427) = 427
GCD(1, 427) = ( 1 x 427 ) / 427
GCD(1, 427) = 427 / 427
GCD(1, 427) = 1
GCD of 59, 838, 796, 427 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 59, 838, 796, 427?
GCD of 59, 838, 796, 427 is 1
2. Where do I get the detailed procedure to find GCD of 59, 838, 796, 427?
You can find a detailed procedure to find GCD of 59, 838, 796, 427 on our page.
3. How to find GCD of 59, 838, 796, 427 on a calculator?
You can find the GCD of 59, 838, 796, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.