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 818, 217, 920, 976 i.e. 1 largest integer that divides all the numbers equally.
GCD of 818, 217, 920, 976 is 1
GCD(818, 217, 920, 976) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 818, 217, 920, 976 is 1
GCD(818, 217, 920, 976) = 1
Given Input numbers are 818, 217, 920, 976
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
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
Greatest Common Divisior
We found the divisors of 818, 217, 920, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 818, 217, 920, 976 is 1.
Therefore, GCD of numbers 818, 217, 920, 976 is 1
Given Input Data is 818, 217, 920, 976
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 818 is 2 x 409
Prime Factorization of 217 is 7 x 31
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
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(818, 217) = 177506
GCD(818, 217) = ( 818 x 217 ) / 177506
GCD(818, 217) = 177506 / 177506
GCD(818, 217) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
GCD of 818, 217, 920, 976 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 818, 217, 920, 976?
GCD of 818, 217, 920, 976 is 1
2. Where do I get the detailed procedure to find GCD of 818, 217, 920, 976?
You can find a detailed procedure to find GCD of 818, 217, 920, 976 on our page.
3. How to find GCD of 818, 217, 920, 976 on a calculator?
You can find the GCD of 818, 217, 920, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.