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 465, 717, 46, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 717, 46, 587 is 1
GCD(465, 717, 46, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 717, 46, 587 is 1
GCD(465, 717, 46, 587) = 1
Given Input numbers are 465, 717, 46, 587
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 465, 717, 46, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 717, 46, 587 is 1.
Therefore, GCD of numbers 465, 717, 46, 587 is 1
Given Input Data is 465, 717, 46, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 717 is 3 x 239
Prime Factorization of 46 is 2 x 23
Prime Factorization of 587 is 587
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(465, 717) = 111135
GCD(465, 717) = ( 465 x 717 ) / 111135
GCD(465, 717) = 333405 / 111135
GCD(465, 717) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 46) = 138
GCD(3, 46) = ( 3 x 46 ) / 138
GCD(3, 46) = 138 / 138
GCD(3, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
GCD(1, 587) = 587 / 587
GCD(1, 587) = 1
GCD of 465, 717, 46, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 717, 46, 587?
GCD of 465, 717, 46, 587 is 1
2. Where do I get the detailed procedure to find GCD of 465, 717, 46, 587?
You can find a detailed procedure to find GCD of 465, 717, 46, 587 on our page.
3. How to find GCD of 465, 717, 46, 587 on a calculator?
You can find the GCD of 465, 717, 46, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.