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 817, 722, 136, 419 i.e. 1 largest integer that divides all the numbers equally.
GCD of 817, 722, 136, 419 is 1
GCD(817, 722, 136, 419) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 817, 722, 136, 419 is 1
GCD(817, 722, 136, 419) = 1
Given Input numbers are 817, 722, 136, 419
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Greatest Common Divisior
We found the divisors of 817, 722, 136, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 722, 136, 419 is 1.
Therefore, GCD of numbers 817, 722, 136, 419 is 1
Given Input Data is 817, 722, 136, 419
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 817 is 19 x 43
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 419 is 419
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(817, 722) = 31046
GCD(817, 722) = ( 817 x 722 ) / 31046
GCD(817, 722) = 589874 / 31046
GCD(817, 722) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 136) = 2584
GCD(19, 136) = ( 19 x 136 ) / 2584
GCD(19, 136) = 2584 / 2584
GCD(19, 136) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 419
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 419) = 419
GCD(1, 419) = ( 1 x 419 ) / 419
GCD(1, 419) = 419 / 419
GCD(1, 419) = 1
GCD of 817, 722, 136, 419 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 817, 722, 136, 419?
GCD of 817, 722, 136, 419 is 1
2. Where do I get the detailed procedure to find GCD of 817, 722, 136, 419?
You can find a detailed procedure to find GCD of 817, 722, 136, 419 on our page.
3. How to find GCD of 817, 722, 136, 419 on a calculator?
You can find the GCD of 817, 722, 136, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.