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 15, 375, 521, 805 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 375, 521, 805 is 1
GCD(15, 375, 521, 805) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 375, 521, 805 is 1
GCD(15, 375, 521, 805) = 1
Given Input numbers are 15, 375, 521, 805
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Greatest Common Divisior
We found the divisors of 15, 375, 521, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 375, 521, 805 is 1.
Therefore, GCD of numbers 15, 375, 521, 805 is 1
Given Input Data is 15, 375, 521, 805
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 521 is 521
Prime Factorization of 805 is 5 x 7 x 23
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(15, 375) = 375
GCD(15, 375) = ( 15 x 375 ) / 375
GCD(15, 375) = 5625 / 375
GCD(15, 375) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 521) = 7815
GCD(15, 521) = ( 15 x 521 ) / 7815
GCD(15, 521) = 7815 / 7815
GCD(15, 521) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 805) = 805
GCD(1, 805) = ( 1 x 805 ) / 805
GCD(1, 805) = 805 / 805
GCD(1, 805) = 1
GCD of 15, 375, 521, 805 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 375, 521, 805?
GCD of 15, 375, 521, 805 is 1
2. Where do I get the detailed procedure to find GCD of 15, 375, 521, 805?
You can find a detailed procedure to find GCD of 15, 375, 521, 805 on our page.
3. How to find GCD of 15, 375, 521, 805 on a calculator?
You can find the GCD of 15, 375, 521, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.