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 956, 536, 66 i.e. 2 largest integer that divides all the numbers equally.
GCD of 956, 536, 66 is 2
GCD(956, 536, 66) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 956, 536, 66 is 2
GCD(956, 536, 66) = 2
Given Input numbers are 956, 536, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 956, 536, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 536, 66 is 2.
Therefore, GCD of numbers 956, 536, 66 is 2
Given Input Data is 956, 536, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 66 is 2 x 3 x 11
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(956, 536) = 128104
GCD(956, 536) = ( 956 x 536 ) / 128104
GCD(956, 536) = 512416 / 128104
GCD(956, 536) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 66) = 132
GCD(4, 66) = ( 4 x 66 ) / 132
GCD(4, 66) = 264 / 132
GCD(4, 66) = 2
GCD of 956, 536, 66 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 956, 536, 66?
GCD of 956, 536, 66 is 2
2. Where do I get the detailed procedure to find GCD of 956, 536, 66?
You can find a detailed procedure to find GCD of 956, 536, 66 on our page.
3. How to find GCD of 956, 536, 66 on a calculator?
You can find the GCD of 956, 536, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.