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 195, 274, 23, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 274, 23, 267 is 1
GCD(195, 274, 23, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 274, 23, 267 is 1
GCD(195, 274, 23, 267) = 1
Given Input numbers are 195, 274, 23, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 195, 274, 23, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 274, 23, 267 is 1.
Therefore, GCD of numbers 195, 274, 23, 267 is 1
Given Input Data is 195, 274, 23, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 274 is 2 x 137
Prime Factorization of 23 is 23
Prime Factorization of 267 is 3 x 89
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(195, 274) = 53430
GCD(195, 274) = ( 195 x 274 ) / 53430
GCD(195, 274) = 53430 / 53430
GCD(195, 274) = 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 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
GCD of 195, 274, 23, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 274, 23, 267?
GCD of 195, 274, 23, 267 is 1
2. Where do I get the detailed procedure to find GCD of 195, 274, 23, 267?
You can find a detailed procedure to find GCD of 195, 274, 23, 267 on our page.
3. How to find GCD of 195, 274, 23, 267 on a calculator?
You can find the GCD of 195, 274, 23, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.