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 250, 171, 73, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 171, 73, 200 is 1
GCD(250, 171, 73, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 171, 73, 200 is 1
GCD(250, 171, 73, 200) = 1
Given Input numbers are 250, 171, 73, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
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
Greatest Common Divisior
We found the divisors of 250, 171, 73, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 171, 73, 200 is 1.
Therefore, GCD of numbers 250, 171, 73, 200 is 1
Given Input Data is 250, 171, 73, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 73 is 73
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
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(250, 171) = 42750
GCD(250, 171) = ( 250 x 171 ) / 42750
GCD(250, 171) = 42750 / 42750
GCD(250, 171) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 250, 171, 73, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 171, 73, 200?
GCD of 250, 171, 73, 200 is 1
2. Where do I get the detailed procedure to find GCD of 250, 171, 73, 200?
You can find a detailed procedure to find GCD of 250, 171, 73, 200 on our page.
3. How to find GCD of 250, 171, 73, 200 on a calculator?
You can find the GCD of 250, 171, 73, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.