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 971, 471, 178, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 471, 178, 843 is 1
GCD(971, 471, 178, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 471, 178, 843 is 1
GCD(971, 471, 178, 843) = 1
Given Input numbers are 971, 471, 178, 843
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 971, 471, 178, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 471, 178, 843 is 1.
Therefore, GCD of numbers 971, 471, 178, 843 is 1
Given Input Data is 971, 471, 178, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 471 is 3 x 157
Prime Factorization of 178 is 2 x 89
Prime Factorization of 843 is 3 x 281
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(971, 471) = 457341
GCD(971, 471) = ( 971 x 471 ) / 457341
GCD(971, 471) = 457341 / 457341
GCD(971, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 843) = 843
GCD(1, 843) = ( 1 x 843 ) / 843
GCD(1, 843) = 843 / 843
GCD(1, 843) = 1
GCD of 971, 471, 178, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 471, 178, 843?
GCD of 971, 471, 178, 843 is 1
2. Where do I get the detailed procedure to find GCD of 971, 471, 178, 843?
You can find a detailed procedure to find GCD of 971, 471, 178, 843 on our page.
3. How to find GCD of 971, 471, 178, 843 on a calculator?
You can find the GCD of 971, 471, 178, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.