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 159, 307, 303, 461 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 307, 303, 461 is 1
GCD(159, 307, 303, 461) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 307, 303, 461 is 1
GCD(159, 307, 303, 461) = 1
Given Input numbers are 159, 307, 303, 461
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Greatest Common Divisior
We found the divisors of 159, 307, 303, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 307, 303, 461 is 1.
Therefore, GCD of numbers 159, 307, 303, 461 is 1
Given Input Data is 159, 307, 303, 461
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 307 is 307
Prime Factorization of 303 is 3 x 101
Prime Factorization of 461 is 461
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(159, 307) = 48813
GCD(159, 307) = ( 159 x 307 ) / 48813
GCD(159, 307) = 48813 / 48813
GCD(159, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 303
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 303) = 303
GCD(1, 303) = ( 1 x 303 ) / 303
GCD(1, 303) = 303 / 303
GCD(1, 303) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
GCD(1, 461) = 461 / 461
GCD(1, 461) = 1
GCD of 159, 307, 303, 461 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 307, 303, 461?
GCD of 159, 307, 303, 461 is 1
2. Where do I get the detailed procedure to find GCD of 159, 307, 303, 461?
You can find a detailed procedure to find GCD of 159, 307, 303, 461 on our page.
3. How to find GCD of 159, 307, 303, 461 on a calculator?
You can find the GCD of 159, 307, 303, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.