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 132, 433, 45, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 132, 433, 45, 777 is 1
GCD(132, 433, 45, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 132, 433, 45, 777 is 1
GCD(132, 433, 45, 777) = 1
Given Input numbers are 132, 433, 45, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 132, 433, 45, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 433, 45, 777 is 1.
Therefore, GCD of numbers 132, 433, 45, 777 is 1
Given Input Data is 132, 433, 45, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 433 is 433
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 777 is 3 x 7 x 37
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(132, 433) = 57156
GCD(132, 433) = ( 132 x 433 ) / 57156
GCD(132, 433) = 57156 / 57156
GCD(132, 433) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 132, 433, 45, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 132, 433, 45, 777?
GCD of 132, 433, 45, 777 is 1
2. Where do I get the detailed procedure to find GCD of 132, 433, 45, 777?
You can find a detailed procedure to find GCD of 132, 433, 45, 777 on our page.
3. How to find GCD of 132, 433, 45, 777 on a calculator?
You can find the GCD of 132, 433, 45, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.