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, 956, 42, 636 i.e. 2 largest integer that divides all the numbers equally.
GCD of 666, 956, 42, 636 is 2
GCD(666, 956, 42, 636) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 666, 956, 42, 636 is 2
GCD(666, 956, 42, 636) = 2
Given Input numbers are 666, 956, 42, 636
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 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 666, 956, 42, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 666, 956, 42, 636 is 2.
Therefore, GCD of numbers 666, 956, 42, 636 is 2
Given Input Data is 666, 956, 42, 636
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 956 is 2 x 2 x 239
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 636 is 2 x 2 x 3 x 53
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, 956) = 318348
GCD(666, 956) = ( 666 x 956 ) / 318348
GCD(666, 956) = 636696 / 318348
GCD(666, 956) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 636) = 636
GCD(2, 636) = ( 2 x 636 ) / 636
GCD(2, 636) = 1272 / 636
GCD(2, 636) = 2
GCD of 666, 956, 42, 636 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 666, 956, 42, 636?
GCD of 666, 956, 42, 636 is 2
2. Where do I get the detailed procedure to find GCD of 666, 956, 42, 636?
You can find a detailed procedure to find GCD of 666, 956, 42, 636 on our page.
3. How to find GCD of 666, 956, 42, 636 on a calculator?
You can find the GCD of 666, 956, 42, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.