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 853, 400, 23, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 853, 400, 23, 388 is 1
GCD(853, 400, 23, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 853, 400, 23, 388 is 1
GCD(853, 400, 23, 388) = 1
Given Input numbers are 853, 400, 23, 388
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 853, 400, 23, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 400, 23, 388 is 1.
Therefore, GCD of numbers 853, 400, 23, 388 is 1
Given Input Data is 853, 400, 23, 388
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 853 is 853
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 23 is 23
Prime Factorization of 388 is 2 x 2 x 97
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(853, 400) = 341200
GCD(853, 400) = ( 853 x 400 ) / 341200
GCD(853, 400) = 341200 / 341200
GCD(853, 400) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 853, 400, 23, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 853, 400, 23, 388?
GCD of 853, 400, 23, 388 is 1
2. Where do I get the detailed procedure to find GCD of 853, 400, 23, 388?
You can find a detailed procedure to find GCD of 853, 400, 23, 388 on our page.
3. How to find GCD of 853, 400, 23, 388 on a calculator?
You can find the GCD of 853, 400, 23, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.