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, 333, 90, 235 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 333, 90, 235 is 1
GCD(772, 333, 90, 235) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 333, 90, 235 is 1
GCD(772, 333, 90, 235) = 1
Given Input numbers are 772, 333, 90, 235
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 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Greatest Common Divisior
We found the divisors of 772, 333, 90, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 333, 90, 235 is 1.
Therefore, GCD of numbers 772, 333, 90, 235 is 1
Given Input Data is 772, 333, 90, 235
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 333 is 3 x 3 x 37
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 235 is 5 x 47
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, 333) = 257076
GCD(772, 333) = ( 772 x 333 ) / 257076
GCD(772, 333) = 257076 / 257076
GCD(772, 333) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
GCD(1, 235) = 235 / 235
GCD(1, 235) = 1
GCD of 772, 333, 90, 235 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 333, 90, 235?
GCD of 772, 333, 90, 235 is 1
2. Where do I get the detailed procedure to find GCD of 772, 333, 90, 235?
You can find a detailed procedure to find GCD of 772, 333, 90, 235 on our page.
3. How to find GCD of 772, 333, 90, 235 on a calculator?
You can find the GCD of 772, 333, 90, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.