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 47, 589, 291, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 47, 589, 291, 765 is 1
GCD(47, 589, 291, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 47, 589, 291, 765 is 1
GCD(47, 589, 291, 765) = 1
Given Input numbers are 47, 589, 291, 765
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 47, 589, 291, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 589, 291, 765 is 1.
Therefore, GCD of numbers 47, 589, 291, 765 is 1
Given Input Data is 47, 589, 291, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 47 is 47
Prime Factorization of 589 is 19 x 31
Prime Factorization of 291 is 3 x 97
Prime Factorization of 765 is 3 x 3 x 5 x 17
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(47, 589) = 27683
GCD(47, 589) = ( 47 x 589 ) / 27683
GCD(47, 589) = 27683 / 27683
GCD(47, 589) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
GCD of 47, 589, 291, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 47, 589, 291, 765?
GCD of 47, 589, 291, 765 is 1
2. Where do I get the detailed procedure to find GCD of 47, 589, 291, 765?
You can find a detailed procedure to find GCD of 47, 589, 291, 765 on our page.
3. How to find GCD of 47, 589, 291, 765 on a calculator?
You can find the GCD of 47, 589, 291, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.