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 687, 593, 748, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 593, 748, 241 is 1
GCD(687, 593, 748, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 593, 748, 241 is 1
GCD(687, 593, 748, 241) = 1
Given Input numbers are 687, 593, 748, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 593
List of positive integer divisors of 593 that divides 593 without a remainder.
1, 593
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 687, 593, 748, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 593, 748, 241 is 1.
Therefore, GCD of numbers 687, 593, 748, 241 is 1
Given Input Data is 687, 593, 748, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 593 is 593
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 241 is 241
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(687, 593) = 407391
GCD(687, 593) = ( 687 x 593 ) / 407391
GCD(687, 593) = 407391 / 407391
GCD(687, 593) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 687, 593, 748, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 593, 748, 241?
GCD of 687, 593, 748, 241 is 1
2. Where do I get the detailed procedure to find GCD of 687, 593, 748, 241?
You can find a detailed procedure to find GCD of 687, 593, 748, 241 on our page.
3. How to find GCD of 687, 593, 748, 241 on a calculator?
You can find the GCD of 687, 593, 748, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.