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 148, 295, 23 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 295, 23 is 1
GCD(148, 295, 23) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 295, 23 is 1
GCD(148, 295, 23) = 1
Given Input numbers are 148, 295, 23
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
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 148, 295, 23 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 295, 23 is 1.
Therefore, GCD of numbers 148, 295, 23 is 1
Given Input Data is 148, 295, 23
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 295 is 5 x 59
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(148, 295) = 43660
GCD(148, 295) = ( 148 x 295 ) / 43660
GCD(148, 295) = 43660 / 43660
GCD(148, 295) = 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 148, 295, 23 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 295, 23?
GCD of 148, 295, 23 is 1
2. Where do I get the detailed procedure to find GCD of 148, 295, 23?
You can find a detailed procedure to find GCD of 148, 295, 23 on our page.
3. How to find GCD of 148, 295, 23 on a calculator?
You can find the GCD of 148, 295, 23 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.