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 230, 838, 136, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 230, 838, 136, 691 is 1
GCD(230, 838, 136, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 230, 838, 136, 691 is 1
GCD(230, 838, 136, 691) = 1
Given Input numbers are 230, 838, 136, 691
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
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 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 230, 838, 136, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 838, 136, 691 is 1.
Therefore, GCD of numbers 230, 838, 136, 691 is 1
Given Input Data is 230, 838, 136, 691
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 838 is 2 x 419
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 691 is 691
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(230, 838) = 96370
GCD(230, 838) = ( 230 x 838 ) / 96370
GCD(230, 838) = 192740 / 96370
GCD(230, 838) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
GCD(2, 136) = 272 / 136
GCD(2, 136) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 691) = 1382
GCD(2, 691) = ( 2 x 691 ) / 1382
GCD(2, 691) = 1382 / 1382
GCD(2, 691) = 1
GCD of 230, 838, 136, 691 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 230, 838, 136, 691?
GCD of 230, 838, 136, 691 is 1
2. Where do I get the detailed procedure to find GCD of 230, 838, 136, 691?
You can find a detailed procedure to find GCD of 230, 838, 136, 691 on our page.
3. How to find GCD of 230, 838, 136, 691 on a calculator?
You can find the GCD of 230, 838, 136, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.