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 882, 267, 23, 842 i.e. 1 largest integer that divides all the numbers equally.
GCD of 882, 267, 23, 842 is 1
GCD(882, 267, 23, 842) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 267, 23, 842 is 1
GCD(882, 267, 23, 842) = 1
Given Input numbers are 882, 267, 23, 842
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Greatest Common Divisior
We found the divisors of 882, 267, 23, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 267, 23, 842 is 1.
Therefore, GCD of numbers 882, 267, 23, 842 is 1
Given Input Data is 882, 267, 23, 842
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 267 is 3 x 89
Prime Factorization of 23 is 23
Prime Factorization of 842 is 2 x 421
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(882, 267) = 78498
GCD(882, 267) = ( 882 x 267 ) / 78498
GCD(882, 267) = 235494 / 78498
GCD(882, 267) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 23) = 69
GCD(3, 23) = ( 3 x 23 ) / 69
GCD(3, 23) = 69 / 69
GCD(3, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
GCD of 882, 267, 23, 842 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 267, 23, 842?
GCD of 882, 267, 23, 842 is 1
2. Where do I get the detailed procedure to find GCD of 882, 267, 23, 842?
You can find a detailed procedure to find GCD of 882, 267, 23, 842 on our page.
3. How to find GCD of 882, 267, 23, 842 on a calculator?
You can find the GCD of 882, 267, 23, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.