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 83, 722, 867, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 722, 867, 645 is 1
GCD(83, 722, 867, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 722, 867, 645 is 1
GCD(83, 722, 867, 645) = 1
Given Input numbers are 83, 722, 867, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 83, 722, 867, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 722, 867, 645 is 1.
Therefore, GCD of numbers 83, 722, 867, 645 is 1
Given Input Data is 83, 722, 867, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 645 is 3 x 5 x 43
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(83, 722) = 59926
GCD(83, 722) = ( 83 x 722 ) / 59926
GCD(83, 722) = 59926 / 59926
GCD(83, 722) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 867) = 867
GCD(1, 867) = ( 1 x 867 ) / 867
GCD(1, 867) = 867 / 867
GCD(1, 867) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 83, 722, 867, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 722, 867, 645?
GCD of 83, 722, 867, 645 is 1
2. Where do I get the detailed procedure to find GCD of 83, 722, 867, 645?
You can find a detailed procedure to find GCD of 83, 722, 867, 645 on our page.
3. How to find GCD of 83, 722, 867, 645 on a calculator?
You can find the GCD of 83, 722, 867, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.