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 645, 871, 733, 816 i.e. 1 largest integer that divides all the numbers equally.
GCD of 645, 871, 733, 816 is 1
GCD(645, 871, 733, 816) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 645, 871, 733, 816 is 1
GCD(645, 871, 733, 816) = 1
Given Input numbers are 645, 871, 733, 816
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Greatest Common Divisior
We found the divisors of 645, 871, 733, 816 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 871, 733, 816 is 1.
Therefore, GCD of numbers 645, 871, 733, 816 is 1
Given Input Data is 645, 871, 733, 816
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 871 is 13 x 67
Prime Factorization of 733 is 733
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
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(645, 871) = 561795
GCD(645, 871) = ( 645 x 871 ) / 561795
GCD(645, 871) = 561795 / 561795
GCD(645, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 733) = 733
GCD(1, 733) = ( 1 x 733 ) / 733
GCD(1, 733) = 733 / 733
GCD(1, 733) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 816
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 816) = 816
GCD(1, 816) = ( 1 x 816 ) / 816
GCD(1, 816) = 816 / 816
GCD(1, 816) = 1
GCD of 645, 871, 733, 816 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 645, 871, 733, 816?
GCD of 645, 871, 733, 816 is 1
2. Where do I get the detailed procedure to find GCD of 645, 871, 733, 816?
You can find a detailed procedure to find GCD of 645, 871, 733, 816 on our page.
3. How to find GCD of 645, 871, 733, 816 on a calculator?
You can find the GCD of 645, 871, 733, 816 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.