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 756, 108, 22, 845 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 108, 22, 845 is 1
GCD(756, 108, 22, 845) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 108, 22, 845 is 1
GCD(756, 108, 22, 845) = 1
Given Input numbers are 756, 108, 22, 845
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Greatest Common Divisior
We found the divisors of 756, 108, 22, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 108, 22, 845 is 1.
Therefore, GCD of numbers 756, 108, 22, 845 is 1
Given Input Data is 756, 108, 22, 845
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 22 is 2 x 11
Prime Factorization of 845 is 5 x 13 x 13
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(756, 108) = 756
GCD(756, 108) = ( 756 x 108 ) / 756
GCD(756, 108) = 81648 / 756
GCD(756, 108) = 108
Step2:
Here we consider the GCD from the above i.e. 108 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(108, 22) = 1188
GCD(108, 22) = ( 108 x 22 ) / 1188
GCD(108, 22) = 2376 / 1188
GCD(108, 22) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 845
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 845) = 1690
GCD(2, 845) = ( 2 x 845 ) / 1690
GCD(2, 845) = 1690 / 1690
GCD(2, 845) = 1
GCD of 756, 108, 22, 845 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 108, 22, 845?
GCD of 756, 108, 22, 845 is 1
2. Where do I get the detailed procedure to find GCD of 756, 108, 22, 845?
You can find a detailed procedure to find GCD of 756, 108, 22, 845 on our page.
3. How to find GCD of 756, 108, 22, 845 on a calculator?
You can find the GCD of 756, 108, 22, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.