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 723, 259, 66, 958 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 259, 66, 958 is 1
GCD(723, 259, 66, 958) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 259, 66, 958 is 1
GCD(723, 259, 66, 958) = 1
Given Input numbers are 723, 259, 66, 958
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 723, 259, 66, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 259, 66, 958 is 1.
Therefore, GCD of numbers 723, 259, 66, 958 is 1
Given Input Data is 723, 259, 66, 958
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 259 is 7 x 37
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 958 is 2 x 479
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(723, 259) = 187257
GCD(723, 259) = ( 723 x 259 ) / 187257
GCD(723, 259) = 187257 / 187257
GCD(723, 259) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 958) = 958
GCD(1, 958) = ( 1 x 958 ) / 958
GCD(1, 958) = 958 / 958
GCD(1, 958) = 1
GCD of 723, 259, 66, 958 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 259, 66, 958?
GCD of 723, 259, 66, 958 is 1
2. Where do I get the detailed procedure to find GCD of 723, 259, 66, 958?
You can find a detailed procedure to find GCD of 723, 259, 66, 958 on our page.
3. How to find GCD of 723, 259, 66, 958 on a calculator?
You can find the GCD of 723, 259, 66, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.