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 307, 148, 179, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 148, 179, 241 is 1
GCD(307, 148, 179, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 148, 179, 241 is 1
GCD(307, 148, 179, 241) = 1
Given Input numbers are 307, 148, 179, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 307, 148, 179, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 148, 179, 241 is 1.
Therefore, GCD of numbers 307, 148, 179, 241 is 1
Given Input Data is 307, 148, 179, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 179 is 179
Prime Factorization of 241 is 241
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(307, 148) = 45436
GCD(307, 148) = ( 307 x 148 ) / 45436
GCD(307, 148) = 45436 / 45436
GCD(307, 148) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 307, 148, 179, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 148, 179, 241?
GCD of 307, 148, 179, 241 is 1
2. Where do I get the detailed procedure to find GCD of 307, 148, 179, 241?
You can find a detailed procedure to find GCD of 307, 148, 179, 241 on our page.
3. How to find GCD of 307, 148, 179, 241 on a calculator?
You can find the GCD of 307, 148, 179, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.