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 54, 853, 653, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 54, 853, 653, 798 is 1
GCD(54, 853, 653, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 54, 853, 653, 798 is 1
GCD(54, 853, 653, 798) = 1
Given Input numbers are 54, 853, 653, 798
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 54, 853, 653, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 853, 653, 798 is 1.
Therefore, GCD of numbers 54, 853, 653, 798 is 1
Given Input Data is 54, 853, 653, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 853 is 853
Prime Factorization of 653 is 653
Prime Factorization of 798 is 2 x 3 x 7 x 19
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(54, 853) = 46062
GCD(54, 853) = ( 54 x 853 ) / 46062
GCD(54, 853) = 46062 / 46062
GCD(54, 853) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 54, 853, 653, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 54, 853, 653, 798?
GCD of 54, 853, 653, 798 is 1
2. Where do I get the detailed procedure to find GCD of 54, 853, 653, 798?
You can find a detailed procedure to find GCD of 54, 853, 653, 798 on our page.
3. How to find GCD of 54, 853, 653, 798 on a calculator?
You can find the GCD of 54, 853, 653, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.