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 32, 660, 976, 818 i.e. 2 largest integer that divides all the numbers equally.
GCD of 32, 660, 976, 818 is 2
GCD(32, 660, 976, 818) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 660, 976, 818 is 2
GCD(32, 660, 976, 818) = 2
Given Input numbers are 32, 660, 976, 818
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Greatest Common Divisior
We found the divisors of 32, 660, 976, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 660, 976, 818 is 2.
Therefore, GCD of numbers 32, 660, 976, 818 is 2
Given Input Data is 32, 660, 976, 818
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 818 is 2 x 409
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(32, 660) = 5280
GCD(32, 660) = ( 32 x 660 ) / 5280
GCD(32, 660) = 21120 / 5280
GCD(32, 660) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 976) = 976
GCD(4, 976) = ( 4 x 976 ) / 976
GCD(4, 976) = 3904 / 976
GCD(4, 976) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 818
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 818) = 1636
GCD(4, 818) = ( 4 x 818 ) / 1636
GCD(4, 818) = 3272 / 1636
GCD(4, 818) = 2
GCD of 32, 660, 976, 818 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 660, 976, 818?
GCD of 32, 660, 976, 818 is 2
2. Where do I get the detailed procedure to find GCD of 32, 660, 976, 818?
You can find a detailed procedure to find GCD of 32, 660, 976, 818 on our page.
3. How to find GCD of 32, 660, 976, 818 on a calculator?
You can find the GCD of 32, 660, 976, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.