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 336, 269, 822, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 269, 822, 652 is 1
GCD(336, 269, 822, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 269, 822, 652 is 1
GCD(336, 269, 822, 652) = 1
Given Input numbers are 336, 269, 822, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 336, 269, 822, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 269, 822, 652 is 1.
Therefore, GCD of numbers 336, 269, 822, 652 is 1
Given Input Data is 336, 269, 822, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 269 is 269
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 652 is 2 x 2 x 163
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(336, 269) = 90384
GCD(336, 269) = ( 336 x 269 ) / 90384
GCD(336, 269) = 90384 / 90384
GCD(336, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
GCD(1, 822) = 822 / 822
GCD(1, 822) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 336, 269, 822, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 269, 822, 652?
GCD of 336, 269, 822, 652 is 1
2. Where do I get the detailed procedure to find GCD of 336, 269, 822, 652?
You can find a detailed procedure to find GCD of 336, 269, 822, 652 on our page.
3. How to find GCD of 336, 269, 822, 652 on a calculator?
You can find the GCD of 336, 269, 822, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.