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 475, 492, 825, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 492, 825, 865 is 1
GCD(475, 492, 825, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 492, 825, 865 is 1
GCD(475, 492, 825, 865) = 1
Given Input numbers are 475, 492, 825, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 475, 492, 825, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 492, 825, 865 is 1.
Therefore, GCD of numbers 475, 492, 825, 865 is 1
Given Input Data is 475, 492, 825, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 865 is 5 x 173
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(475, 492) = 233700
GCD(475, 492) = ( 475 x 492 ) / 233700
GCD(475, 492) = 233700 / 233700
GCD(475, 492) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 475, 492, 825, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 492, 825, 865?
GCD of 475, 492, 825, 865 is 1
2. Where do I get the detailed procedure to find GCD of 475, 492, 825, 865?
You can find a detailed procedure to find GCD of 475, 492, 825, 865 on our page.
3. How to find GCD of 475, 492, 825, 865 on a calculator?
You can find the GCD of 475, 492, 825, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.