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 291, 475, 365, 928 i.e. 1 largest integer that divides all the numbers equally.
GCD of 291, 475, 365, 928 is 1
GCD(291, 475, 365, 928) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 291, 475, 365, 928 is 1
GCD(291, 475, 365, 928) = 1
Given Input numbers are 291, 475, 365, 928
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 291, 475, 365, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 475, 365, 928 is 1.
Therefore, GCD of numbers 291, 475, 365, 928 is 1
Given Input Data is 291, 475, 365, 928
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 291 is 3 x 97
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 365 is 5 x 73
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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(291, 475) = 138225
GCD(291, 475) = ( 291 x 475 ) / 138225
GCD(291, 475) = 138225 / 138225
GCD(291, 475) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 365) = 365
GCD(1, 365) = ( 1 x 365 ) / 365
GCD(1, 365) = 365 / 365
GCD(1, 365) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
GCD of 291, 475, 365, 928 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 291, 475, 365, 928?
GCD of 291, 475, 365, 928 is 1
2. Where do I get the detailed procedure to find GCD of 291, 475, 365, 928?
You can find a detailed procedure to find GCD of 291, 475, 365, 928 on our page.
3. How to find GCD of 291, 475, 365, 928 on a calculator?
You can find the GCD of 291, 475, 365, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.