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 791, 461, 285, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 461, 285, 360 is 1
GCD(791, 461, 285, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 461, 285, 360 is 1
GCD(791, 461, 285, 360) = 1
Given Input numbers are 791, 461, 285, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 791, 461, 285, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 461, 285, 360 is 1.
Therefore, GCD of numbers 791, 461, 285, 360 is 1
Given Input Data is 791, 461, 285, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 461 is 461
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(791, 461) = 364651
GCD(791, 461) = ( 791 x 461 ) / 364651
GCD(791, 461) = 364651 / 364651
GCD(791, 461) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 285) = 285
GCD(1, 285) = ( 1 x 285 ) / 285
GCD(1, 285) = 285 / 285
GCD(1, 285) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 791, 461, 285, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 791, 461, 285, 360?
GCD of 791, 461, 285, 360 is 1
2. Where do I get the detailed procedure to find GCD of 791, 461, 285, 360?
You can find a detailed procedure to find GCD of 791, 461, 285, 360 on our page.
3. How to find GCD of 791, 461, 285, 360 on a calculator?
You can find the GCD of 791, 461, 285, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.