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, 869, 23 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 869, 23 is 1
GCD(153, 869, 23) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 869, 23 is 1
GCD(153, 869, 23) = 1
Given Input numbers are 153, 869, 23
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 869
List of positive integer divisors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Greatest Common Divisior
We found the divisors of 153, 869, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 869, 23 is 1.
Therefore, GCD of numbers 153, 869, 23 is 1
Given Input Data is 153, 869, 23
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 869 is 11 x 79
Prime Factorization of 23 is 23
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, 869) = 132957
GCD(153, 869) = ( 153 x 869 ) / 132957
GCD(153, 869) = 132957 / 132957
GCD(153, 869) = 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
GCD of 153, 869, 23 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 869, 23?
GCD of 153, 869, 23 is 1
2. Where do I get the detailed procedure to find GCD of 153, 869, 23?
You can find a detailed procedure to find GCD of 153, 869, 23 on our page.
3. How to find GCD of 153, 869, 23 on a calculator?
You can find the GCD of 153, 869, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.