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 153, 819, 56, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 819, 56, 985 is 1
GCD(153, 819, 56, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 819, 56, 985 is 1
GCD(153, 819, 56, 985) = 1
Given Input numbers are 153, 819, 56, 985
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 153, 819, 56, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 819, 56, 985 is 1.
Therefore, GCD of numbers 153, 819, 56, 985 is 1
Given Input Data is 153, 819, 56, 985
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 985 is 5 x 197
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(153, 819) = 13923
GCD(153, 819) = ( 153 x 819 ) / 13923
GCD(153, 819) = 125307 / 13923
GCD(153, 819) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 56) = 504
GCD(9, 56) = ( 9 x 56 ) / 504
GCD(9, 56) = 504 / 504
GCD(9, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
GCD of 153, 819, 56, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 819, 56, 985?
GCD of 153, 819, 56, 985 is 1
2. Where do I get the detailed procedure to find GCD of 153, 819, 56, 985?
You can find a detailed procedure to find GCD of 153, 819, 56, 985 on our page.
3. How to find GCD of 153, 819, 56, 985 on a calculator?
You can find the GCD of 153, 819, 56, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.