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 581, 238, 68, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 581, 238, 68, 200 is 1
GCD(581, 238, 68, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 581, 238, 68, 200 is 1
GCD(581, 238, 68, 200) = 1
Given Input numbers are 581, 238, 68, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 581, 238, 68, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 581, 238, 68, 200 is 1.
Therefore, GCD of numbers 581, 238, 68, 200 is 1
Given Input Data is 581, 238, 68, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 581 is 7 x 83
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
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(581, 238) = 19754
GCD(581, 238) = ( 581 x 238 ) / 19754
GCD(581, 238) = 138278 / 19754
GCD(581, 238) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 68) = 476
GCD(7, 68) = ( 7 x 68 ) / 476
GCD(7, 68) = 476 / 476
GCD(7, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 581, 238, 68, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 581, 238, 68, 200?
GCD of 581, 238, 68, 200 is 1
2. Where do I get the detailed procedure to find GCD of 581, 238, 68, 200?
You can find a detailed procedure to find GCD of 581, 238, 68, 200 on our page.
3. How to find GCD of 581, 238, 68, 200 on a calculator?
You can find the GCD of 581, 238, 68, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.