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, 106, 25, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 666, 106, 25, 376 is 1
GCD(666, 106, 25, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 666, 106, 25, 376 is 1
GCD(666, 106, 25, 376) = 1
Given Input numbers are 666, 106, 25, 376
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 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 666, 106, 25, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 106, 25, 376 is 1.
Therefore, GCD of numbers 666, 106, 25, 376 is 1
Given Input Data is 666, 106, 25, 376
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 106 is 2 x 53
Prime Factorization of 25 is 5 x 5
Prime Factorization of 376 is 2 x 2 x 2 x 47
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, 106) = 35298
GCD(666, 106) = ( 666 x 106 ) / 35298
GCD(666, 106) = 70596 / 35298
GCD(666, 106) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
GCD(2, 25) = 50 / 50
GCD(2, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 666, 106, 25, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 666, 106, 25, 376?
GCD of 666, 106, 25, 376 is 1
2. Where do I get the detailed procedure to find GCD of 666, 106, 25, 376?
You can find a detailed procedure to find GCD of 666, 106, 25, 376 on our page.
3. How to find GCD of 666, 106, 25, 376 on a calculator?
You can find the GCD of 666, 106, 25, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.