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 82, 916, 844, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 82, 916, 844, 567 is 1
GCD(82, 916, 844, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 82, 916, 844, 567 is 1
GCD(82, 916, 844, 567) = 1
Given Input numbers are 82, 916, 844, 567
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 82, 916, 844, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 916, 844, 567 is 1.
Therefore, GCD of numbers 82, 916, 844, 567 is 1
Given Input Data is 82, 916, 844, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 82 is 2 x 41
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
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(82, 916) = 37556
GCD(82, 916) = ( 82 x 916 ) / 37556
GCD(82, 916) = 75112 / 37556
GCD(82, 916) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 844) = 844
GCD(2, 844) = ( 2 x 844 ) / 844
GCD(2, 844) = 1688 / 844
GCD(2, 844) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 567) = 1134
GCD(2, 567) = ( 2 x 567 ) / 1134
GCD(2, 567) = 1134 / 1134
GCD(2, 567) = 1
GCD of 82, 916, 844, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 82, 916, 844, 567?
GCD of 82, 916, 844, 567 is 1
2. Where do I get the detailed procedure to find GCD of 82, 916, 844, 567?
You can find a detailed procedure to find GCD of 82, 916, 844, 567 on our page.
3. How to find GCD of 82, 916, 844, 567 on a calculator?
You can find the GCD of 82, 916, 844, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.