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 666, 188, 75, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 666, 188, 75, 629 is 1
GCD(666, 188, 75, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 666, 188, 75, 629 is 1
GCD(666, 188, 75, 629) = 1
Given Input numbers are 666, 188, 75, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 666, 188, 75, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 188, 75, 629 is 1.
Therefore, GCD of numbers 666, 188, 75, 629 is 1
Given Input Data is 666, 188, 75, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 629 is 17 x 37
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(666, 188) = 62604
GCD(666, 188) = ( 666 x 188 ) / 62604
GCD(666, 188) = 125208 / 62604
GCD(666, 188) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 666, 188, 75, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 666, 188, 75, 629?
GCD of 666, 188, 75, 629 is 1
2. Where do I get the detailed procedure to find GCD of 666, 188, 75, 629?
You can find a detailed procedure to find GCD of 666, 188, 75, 629 on our page.
3. How to find GCD of 666, 188, 75, 629 on a calculator?
You can find the GCD of 666, 188, 75, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.