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 194, 598, 12, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 194, 598, 12, 151 is 1
GCD(194, 598, 12, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 194, 598, 12, 151 is 1
GCD(194, 598, 12, 151) = 1
Given Input numbers are 194, 598, 12, 151
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 194, 598, 12, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 598, 12, 151 is 1.
Therefore, GCD of numbers 194, 598, 12, 151 is 1
Given Input Data is 194, 598, 12, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 194 is 2 x 97
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 151 is 151
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(194, 598) = 58006
GCD(194, 598) = ( 194 x 598 ) / 58006
GCD(194, 598) = 116012 / 58006
GCD(194, 598) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 12) = 12
GCD(2, 12) = ( 2 x 12 ) / 12
GCD(2, 12) = 24 / 12
GCD(2, 12) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 151) = 302
GCD(2, 151) = ( 2 x 151 ) / 302
GCD(2, 151) = 302 / 302
GCD(2, 151) = 1
GCD of 194, 598, 12, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 194, 598, 12, 151?
GCD of 194, 598, 12, 151 is 1
2. Where do I get the detailed procedure to find GCD of 194, 598, 12, 151?
You can find a detailed procedure to find GCD of 194, 598, 12, 151 on our page.
3. How to find GCD of 194, 598, 12, 151 on a calculator?
You can find the GCD of 194, 598, 12, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.