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 133, 483, 744, 406 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 483, 744, 406 is 1
GCD(133, 483, 744, 406) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 483, 744, 406 is 1
GCD(133, 483, 744, 406) = 1
Given Input numbers are 133, 483, 744, 406
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Greatest Common Divisior
We found the divisors of 133, 483, 744, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 483, 744, 406 is 1.
Therefore, GCD of numbers 133, 483, 744, 406 is 1
Given Input Data is 133, 483, 744, 406
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 406 is 2 x 7 x 29
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(133, 483) = 9177
GCD(133, 483) = ( 133 x 483 ) / 9177
GCD(133, 483) = 64239 / 9177
GCD(133, 483) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 744
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 744) = 5208
GCD(7, 744) = ( 7 x 744 ) / 5208
GCD(7, 744) = 5208 / 5208
GCD(7, 744) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
GCD of 133, 483, 744, 406 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 483, 744, 406?
GCD of 133, 483, 744, 406 is 1
2. Where do I get the detailed procedure to find GCD of 133, 483, 744, 406?
You can find a detailed procedure to find GCD of 133, 483, 744, 406 on our page.
3. How to find GCD of 133, 483, 744, 406 on a calculator?
You can find the GCD of 133, 483, 744, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.