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, 365, 999, 525 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 365, 999, 525 is 1
GCD(465, 365, 999, 525) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 365, 999, 525 is 1
GCD(465, 365, 999, 525) = 1
Given Input numbers are 465, 365, 999, 525
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 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Greatest Common Divisior
We found the divisors of 465, 365, 999, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 365, 999, 525 is 1.
Therefore, GCD of numbers 465, 365, 999, 525 is 1
Given Input Data is 465, 365, 999, 525
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 365 is 5 x 73
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 525 is 3 x 5 x 5 x 7
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, 365) = 33945
GCD(465, 365) = ( 465 x 365 ) / 33945
GCD(465, 365) = 169725 / 33945
GCD(465, 365) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 999) = 4995
GCD(5, 999) = ( 5 x 999 ) / 4995
GCD(5, 999) = 4995 / 4995
GCD(5, 999) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 525) = 525
GCD(1, 525) = ( 1 x 525 ) / 525
GCD(1, 525) = 525 / 525
GCD(1, 525) = 1
GCD of 465, 365, 999, 525 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 365, 999, 525?
GCD of 465, 365, 999, 525 is 1
2. Where do I get the detailed procedure to find GCD of 465, 365, 999, 525?
You can find a detailed procedure to find GCD of 465, 365, 999, 525 on our page.
3. How to find GCD of 465, 365, 999, 525 on a calculator?
You can find the GCD of 465, 365, 999, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.