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 628, 133, 27, 471 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 133, 27, 471 is 1
GCD(628, 133, 27, 471) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 133, 27, 471 is 1
GCD(628, 133, 27, 471) = 1
Given Input numbers are 628, 133, 27, 471
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Greatest Common Divisior
We found the divisors of 628, 133, 27, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 133, 27, 471 is 1.
Therefore, GCD of numbers 628, 133, 27, 471 is 1
Given Input Data is 628, 133, 27, 471
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 133 is 7 x 19
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 471 is 3 x 157
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(628, 133) = 83524
GCD(628, 133) = ( 628 x 133 ) / 83524
GCD(628, 133) = 83524 / 83524
GCD(628, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
GCD(1, 471) = 471 / 471
GCD(1, 471) = 1
GCD of 628, 133, 27, 471 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 133, 27, 471?
GCD of 628, 133, 27, 471 is 1
2. Where do I get the detailed procedure to find GCD of 628, 133, 27, 471?
You can find a detailed procedure to find GCD of 628, 133, 27, 471 on our page.
3. How to find GCD of 628, 133, 27, 471 on a calculator?
You can find the GCD of 628, 133, 27, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.