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 269, 789, 817, 749 i.e. 1 largest integer that divides all the numbers equally.
GCD of 269, 789, 817, 749 is 1
GCD(269, 789, 817, 749) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 269, 789, 817, 749 is 1
GCD(269, 789, 817, 749) = 1
Given Input numbers are 269, 789, 817, 749
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 817
List of positive integer divisors of 817 that divides 817 without a remainder.
1, 19, 43, 817
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Greatest Common Divisior
We found the divisors of 269, 789, 817, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 789, 817, 749 is 1.
Therefore, GCD of numbers 269, 789, 817, 749 is 1
Given Input Data is 269, 789, 817, 749
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 269 is 269
Prime Factorization of 789 is 3 x 263
Prime Factorization of 817 is 19 x 43
Prime Factorization of 749 is 7 x 107
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(269, 789) = 212241
GCD(269, 789) = ( 269 x 789 ) / 212241
GCD(269, 789) = 212241 / 212241
GCD(269, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 817
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 817) = 817
GCD(1, 817) = ( 1 x 817 ) / 817
GCD(1, 817) = 817 / 817
GCD(1, 817) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
GCD(1, 749) = 749 / 749
GCD(1, 749) = 1
GCD of 269, 789, 817, 749 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 269, 789, 817, 749?
GCD of 269, 789, 817, 749 is 1
2. Where do I get the detailed procedure to find GCD of 269, 789, 817, 749?
You can find a detailed procedure to find GCD of 269, 789, 817, 749 on our page.
3. How to find GCD of 269, 789, 817, 749 on a calculator?
You can find the GCD of 269, 789, 817, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.