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 795, 575, 635, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 795, 575, 635, 489 is 1
GCD(795, 575, 635, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 795, 575, 635, 489 is 1
GCD(795, 575, 635, 489) = 1
Given Input numbers are 795, 575, 635, 489
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 795
List of positive integer divisors of 795 that divides 795 without a remainder.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Greatest Common Divisior
We found the divisors of 795, 575, 635, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 575, 635, 489 is 1.
Therefore, GCD of numbers 795, 575, 635, 489 is 1
Given Input Data is 795, 575, 635, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 795 is 3 x 5 x 53
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 635 is 5 x 127
Prime Factorization of 489 is 3 x 163
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(795, 575) = 91425
GCD(795, 575) = ( 795 x 575 ) / 91425
GCD(795, 575) = 457125 / 91425
GCD(795, 575) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 635) = 635
GCD(5, 635) = ( 5 x 635 ) / 635
GCD(5, 635) = 3175 / 635
GCD(5, 635) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 489) = 2445
GCD(5, 489) = ( 5 x 489 ) / 2445
GCD(5, 489) = 2445 / 2445
GCD(5, 489) = 1
GCD of 795, 575, 635, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 795, 575, 635, 489?
GCD of 795, 575, 635, 489 is 1
2. Where do I get the detailed procedure to find GCD of 795, 575, 635, 489?
You can find a detailed procedure to find GCD of 795, 575, 635, 489 on our page.
3. How to find GCD of 795, 575, 635, 489 on a calculator?
You can find the GCD of 795, 575, 635, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.