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 22, 850, 644, 636 i.e. 2 largest integer that divides all the numbers equally.
GCD of 22, 850, 644, 636 is 2
GCD(22, 850, 644, 636) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 22, 850, 644, 636 is 2
GCD(22, 850, 644, 636) = 2
Given Input numbers are 22, 850, 644, 636
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 22, 850, 644, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 850, 644, 636 is 2.
Therefore, GCD of numbers 22, 850, 644, 636 is 2
Given Input Data is 22, 850, 644, 636
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 22 is 2 x 11
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 636 is 2 x 2 x 3 x 53
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(22, 850) = 9350
GCD(22, 850) = ( 22 x 850 ) / 9350
GCD(22, 850) = 18700 / 9350
GCD(22, 850) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 644
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 644) = 644
GCD(2, 644) = ( 2 x 644 ) / 644
GCD(2, 644) = 1288 / 644
GCD(2, 644) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 636) = 636
GCD(2, 636) = ( 2 x 636 ) / 636
GCD(2, 636) = 1272 / 636
GCD(2, 636) = 2
GCD of 22, 850, 644, 636 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 22, 850, 644, 636?
GCD of 22, 850, 644, 636 is 2
2. Where do I get the detailed procedure to find GCD of 22, 850, 644, 636?
You can find a detailed procedure to find GCD of 22, 850, 644, 636 on our page.
3. How to find GCD of 22, 850, 644, 636 on a calculator?
You can find the GCD of 22, 850, 644, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.