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, 132, 46, 156 i.e. 2 largest integer that divides all the numbers equally.
GCD of 666, 132, 46, 156 is 2
GCD(666, 132, 46, 156) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 666, 132, 46, 156 is 2
GCD(666, 132, 46, 156) = 2
Given Input numbers are 666, 132, 46, 156
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 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 666, 132, 46, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 132, 46, 156 is 2.
Therefore, GCD of numbers 666, 132, 46, 156 is 2
Given Input Data is 666, 132, 46, 156
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 132 is 2 x 2 x 3 x 11
Prime Factorization of 46 is 2 x 23
Prime Factorization of 156 is 2 x 2 x 3 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 132) = 14652
GCD(666, 132) = ( 666 x 132 ) / 14652
GCD(666, 132) = 87912 / 14652
GCD(666, 132) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 46) = 138
GCD(6, 46) = ( 6 x 46 ) / 138
GCD(6, 46) = 276 / 138
GCD(6, 46) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
GCD(2, 156) = 312 / 156
GCD(2, 156) = 2
GCD of 666, 132, 46, 156 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 666, 132, 46, 156?
GCD of 666, 132, 46, 156 is 2
2. Where do I get the detailed procedure to find GCD of 666, 132, 46, 156?
You can find a detailed procedure to find GCD of 666, 132, 46, 156 on our page.
3. How to find GCD of 666, 132, 46, 156 on a calculator?
You can find the GCD of 666, 132, 46, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.