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 271, 103, 59, 471 i.e. 1 largest integer that divides all the numbers equally.
GCD of 271, 103, 59, 471 is 1
GCD(271, 103, 59, 471) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 271, 103, 59, 471 is 1
GCD(271, 103, 59, 471) = 1
Given Input numbers are 271, 103, 59, 471
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
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 271, 103, 59, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 103, 59, 471 is 1.
Therefore, GCD of numbers 271, 103, 59, 471 is 1
Given Input Data is 271, 103, 59, 471
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 271 is 271
Prime Factorization of 103 is 103
Prime Factorization of 59 is 59
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(271, 103) = 27913
GCD(271, 103) = ( 271 x 103 ) / 27913
GCD(271, 103) = 27913 / 27913
GCD(271, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 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 271, 103, 59, 471 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 271, 103, 59, 471?
GCD of 271, 103, 59, 471 is 1
2. Where do I get the detailed procedure to find GCD of 271, 103, 59, 471?
You can find a detailed procedure to find GCD of 271, 103, 59, 471 on our page.
3. How to find GCD of 271, 103, 59, 471 on a calculator?
You can find the GCD of 271, 103, 59, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.