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 178, 923, 50, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 178, 923, 50, 971 is 1
GCD(178, 923, 50, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 178, 923, 50, 971 is 1
GCD(178, 923, 50, 971) = 1
Given Input numbers are 178, 923, 50, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 178, 923, 50, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 923, 50, 971 is 1.
Therefore, GCD of numbers 178, 923, 50, 971 is 1
Given Input Data is 178, 923, 50, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 178 is 2 x 89
Prime Factorization of 923 is 13 x 71
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 971 is 971
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(178, 923) = 164294
GCD(178, 923) = ( 178 x 923 ) / 164294
GCD(178, 923) = 164294 / 164294
GCD(178, 923) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 178, 923, 50, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 178, 923, 50, 971?
GCD of 178, 923, 50, 971 is 1
2. Where do I get the detailed procedure to find GCD of 178, 923, 50, 971?
You can find a detailed procedure to find GCD of 178, 923, 50, 971 on our page.
3. How to find GCD of 178, 923, 50, 971 on a calculator?
You can find the GCD of 178, 923, 50, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.