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, 136, 319, 459 i.e. 1 largest integer that divides all the numbers equally.
GCD of 836, 136, 319, 459 is 1
GCD(836, 136, 319, 459) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 136, 319, 459 is 1
GCD(836, 136, 319, 459) = 1
Given Input numbers are 836, 136, 319, 459
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 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Greatest Common Divisior
We found the divisors of 836, 136, 319, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 136, 319, 459 is 1.
Therefore, GCD of numbers 836, 136, 319, 459 is 1
Given Input Data is 836, 136, 319, 459
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 136 is 2 x 2 x 2 x 17
Prime Factorization of 319 is 11 x 29
Prime Factorization of 459 is 3 x 3 x 3 x 17
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, 136) = 28424
GCD(836, 136) = ( 836 x 136 ) / 28424
GCD(836, 136) = 113696 / 28424
GCD(836, 136) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 319
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 319) = 1276
GCD(4, 319) = ( 4 x 319 ) / 1276
GCD(4, 319) = 1276 / 1276
GCD(4, 319) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
GCD of 836, 136, 319, 459 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 136, 319, 459?
GCD of 836, 136, 319, 459 is 1
2. Where do I get the detailed procedure to find GCD of 836, 136, 319, 459?
You can find a detailed procedure to find GCD of 836, 136, 319, 459 on our page.
3. How to find GCD of 836, 136, 319, 459 on a calculator?
You can find the GCD of 836, 136, 319, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.