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 943, 471, 160, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 943, 471, 160, 231 is 1
GCD(943, 471, 160, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 943, 471, 160, 231 is 1
GCD(943, 471, 160, 231) = 1
Given Input numbers are 943, 471, 160, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 943, 471, 160, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 943, 471, 160, 231 is 1.
Therefore, GCD of numbers 943, 471, 160, 231 is 1
Given Input Data is 943, 471, 160, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 943 is 23 x 41
Prime Factorization of 471 is 3 x 157
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 231 is 3 x 7 x 11
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(943, 471) = 444153
GCD(943, 471) = ( 943 x 471 ) / 444153
GCD(943, 471) = 444153 / 444153
GCD(943, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 943, 471, 160, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 943, 471, 160, 231?
GCD of 943, 471, 160, 231 is 1
2. Where do I get the detailed procedure to find GCD of 943, 471, 160, 231?
You can find a detailed procedure to find GCD of 943, 471, 160, 231 on our page.
3. How to find GCD of 943, 471, 160, 231 on a calculator?
You can find the GCD of 943, 471, 160, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.