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, 745, 33, 271 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 745, 33, 271 is 1
GCD(628, 745, 33, 271) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 745, 33, 271 is 1
GCD(628, 745, 33, 271) = 1
Given Input numbers are 628, 745, 33, 271
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 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Greatest Common Divisior
We found the divisors of 628, 745, 33, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 745, 33, 271 is 1.
Therefore, GCD of numbers 628, 745, 33, 271 is 1
Given Input Data is 628, 745, 33, 271
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 745 is 5 x 149
Prime Factorization of 33 is 3 x 11
Prime Factorization of 271 is 271
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, 745) = 467860
GCD(628, 745) = ( 628 x 745 ) / 467860
GCD(628, 745) = 467860 / 467860
GCD(628, 745) = 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 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
GCD of 628, 745, 33, 271 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 745, 33, 271?
GCD of 628, 745, 33, 271 is 1
2. Where do I get the detailed procedure to find GCD of 628, 745, 33, 271?
You can find a detailed procedure to find GCD of 628, 745, 33, 271 on our page.
3. How to find GCD of 628, 745, 33, 271 on a calculator?
You can find the GCD of 628, 745, 33, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.