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 515, 535, 25 i.e. 5 largest integer that divides all the numbers equally.
GCD of 515, 535, 25 is 5
GCD(515, 535, 25) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 515, 535, 25 is 5
GCD(515, 535, 25) = 5
Given Input numbers are 515, 535, 25
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Greatest Common Divisior
We found the divisors of 515, 535, 25 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 535, 25 is 5.
Therefore, GCD of numbers 515, 535, 25 is 5
Given Input Data is 515, 535, 25
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 515 is 5 x 103
Prime Factorization of 535 is 5 x 107
Prime Factorization of 25 is 5 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(515, 535) = 55105
GCD(515, 535) = ( 515 x 535 ) / 55105
GCD(515, 535) = 275525 / 55105
GCD(515, 535) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 25) = 25
GCD(5, 25) = ( 5 x 25 ) / 25
GCD(5, 25) = 125 / 25
GCD(5, 25) = 5
GCD of 515, 535, 25 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 515, 535, 25?
GCD of 515, 535, 25 is 5
2. Where do I get the detailed procedure to find GCD of 515, 535, 25?
You can find a detailed procedure to find GCD of 515, 535, 25 on our page.
3. How to find GCD of 515, 535, 25 on a calculator?
You can find the GCD of 515, 535, 25 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.