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 200, 971, 47, 173 i.e. 1 largest integer that divides all the numbers equally.
GCD of 200, 971, 47, 173 is 1
GCD(200, 971, 47, 173) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 971, 47, 173 is 1
GCD(200, 971, 47, 173) = 1
Given Input numbers are 200, 971, 47, 173
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Greatest Common Divisior
We found the divisors of 200, 971, 47, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 971, 47, 173 is 1.
Therefore, GCD of numbers 200, 971, 47, 173 is 1
Given Input Data is 200, 971, 47, 173
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 971 is 971
Prime Factorization of 47 is 47
Prime Factorization of 173 is 173
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(200, 971) = 194200
GCD(200, 971) = ( 200 x 971 ) / 194200
GCD(200, 971) = 194200 / 194200
GCD(200, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 173) = 173
GCD(1, 173) = ( 1 x 173 ) / 173
GCD(1, 173) = 173 / 173
GCD(1, 173) = 1
GCD of 200, 971, 47, 173 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 971, 47, 173?
GCD of 200, 971, 47, 173 is 1
2. Where do I get the detailed procedure to find GCD of 200, 971, 47, 173?
You can find a detailed procedure to find GCD of 200, 971, 47, 173 on our page.
3. How to find GCD of 200, 971, 47, 173 on a calculator?
You can find the GCD of 200, 971, 47, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.