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 772, 269, 33, 719 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 269, 33, 719 is 1
GCD(772, 269, 33, 719) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 269, 33, 719 is 1
GCD(772, 269, 33, 719) = 1
Given Input numbers are 772, 269, 33, 719
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 719
List of positive integer divisors of 719 that divides 719 without a remainder.
1, 719
Greatest Common Divisior
We found the divisors of 772, 269, 33, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 269, 33, 719 is 1.
Therefore, GCD of numbers 772, 269, 33, 719 is 1
Given Input Data is 772, 269, 33, 719
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 269 is 269
Prime Factorization of 33 is 3 x 11
Prime Factorization of 719 is 719
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(772, 269) = 207668
GCD(772, 269) = ( 772 x 269 ) / 207668
GCD(772, 269) = 207668 / 207668
GCD(772, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 719
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 719) = 719
GCD(1, 719) = ( 1 x 719 ) / 719
GCD(1, 719) = 719 / 719
GCD(1, 719) = 1
GCD of 772, 269, 33, 719 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 269, 33, 719?
GCD of 772, 269, 33, 719 is 1
2. Where do I get the detailed procedure to find GCD of 772, 269, 33, 719?
You can find a detailed procedure to find GCD of 772, 269, 33, 719 on our page.
3. How to find GCD of 772, 269, 33, 719 on a calculator?
You can find the GCD of 772, 269, 33, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.