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 844, 922, 20, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 844, 922, 20, 775 is 1
GCD(844, 922, 20, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 844, 922, 20, 775 is 1
GCD(844, 922, 20, 775) = 1
Given Input numbers are 844, 922, 20, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 844, 922, 20, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 922, 20, 775 is 1.
Therefore, GCD of numbers 844, 922, 20, 775 is 1
Given Input Data is 844, 922, 20, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 922 is 2 x 461
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 775 is 5 x 5 x 31
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(844, 922) = 389084
GCD(844, 922) = ( 844 x 922 ) / 389084
GCD(844, 922) = 778168 / 389084
GCD(844, 922) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
GCD(2, 20) = 40 / 20
GCD(2, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 775) = 1550
GCD(2, 775) = ( 2 x 775 ) / 1550
GCD(2, 775) = 1550 / 1550
GCD(2, 775) = 1
GCD of 844, 922, 20, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 844, 922, 20, 775?
GCD of 844, 922, 20, 775 is 1
2. Where do I get the detailed procedure to find GCD of 844, 922, 20, 775?
You can find a detailed procedure to find GCD of 844, 922, 20, 775 on our page.
3. How to find GCD of 844, 922, 20, 775 on a calculator?
You can find the GCD of 844, 922, 20, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.