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 188, 608, 41, 250 i.e. 1 largest integer that divides all the numbers equally.
GCD of 188, 608, 41, 250 is 1
GCD(188, 608, 41, 250) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 188, 608, 41, 250 is 1
GCD(188, 608, 41, 250) = 1
Given Input numbers are 188, 608, 41, 250
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Greatest Common Divisior
We found the divisors of 188, 608, 41, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 608, 41, 250 is 1.
Therefore, GCD of numbers 188, 608, 41, 250 is 1
Given Input Data is 188, 608, 41, 250
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 41 is 41
Prime Factorization of 250 is 2 x 5 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(188, 608) = 28576
GCD(188, 608) = ( 188 x 608 ) / 28576
GCD(188, 608) = 114304 / 28576
GCD(188, 608) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 41) = 164
GCD(4, 41) = ( 4 x 41 ) / 164
GCD(4, 41) = 164 / 164
GCD(4, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 250) = 250
GCD(1, 250) = ( 1 x 250 ) / 250
GCD(1, 250) = 250 / 250
GCD(1, 250) = 1
GCD of 188, 608, 41, 250 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 188, 608, 41, 250?
GCD of 188, 608, 41, 250 is 1
2. Where do I get the detailed procedure to find GCD of 188, 608, 41, 250?
You can find a detailed procedure to find GCD of 188, 608, 41, 250 on our page.
3. How to find GCD of 188, 608, 41, 250 on a calculator?
You can find the GCD of 188, 608, 41, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.