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 236, 295, 689, 449 i.e. 1 largest integer that divides all the numbers equally.
GCD of 236, 295, 689, 449 is 1
GCD(236, 295, 689, 449) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 236, 295, 689, 449 is 1
GCD(236, 295, 689, 449) = 1
Given Input numbers are 236, 295, 689, 449
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Greatest Common Divisior
We found the divisors of 236, 295, 689, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 295, 689, 449 is 1.
Therefore, GCD of numbers 236, 295, 689, 449 is 1
Given Input Data is 236, 295, 689, 449
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 295 is 5 x 59
Prime Factorization of 689 is 13 x 53
Prime Factorization of 449 is 449
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(236, 295) = 1180
GCD(236, 295) = ( 236 x 295 ) / 1180
GCD(236, 295) = 69620 / 1180
GCD(236, 295) = 59
Step2:
Here we consider the GCD from the above i.e. 59 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(59, 689) = 40651
GCD(59, 689) = ( 59 x 689 ) / 40651
GCD(59, 689) = 40651 / 40651
GCD(59, 689) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 449
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 449) = 449
GCD(1, 449) = ( 1 x 449 ) / 449
GCD(1, 449) = 449 / 449
GCD(1, 449) = 1
GCD of 236, 295, 689, 449 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 236, 295, 689, 449?
GCD of 236, 295, 689, 449 is 1
2. Where do I get the detailed procedure to find GCD of 236, 295, 689, 449?
You can find a detailed procedure to find GCD of 236, 295, 689, 449 on our page.
3. How to find GCD of 236, 295, 689, 449 on a calculator?
You can find the GCD of 236, 295, 689, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.