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 525, 403, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 525, 403, 299 is 1
GCD(525, 403, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 525, 403, 299 is 1
GCD(525, 403, 299) = 1
Given Input numbers are 525, 403, 299
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 525, 403, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 403, 299 is 1.
Therefore, GCD of numbers 525, 403, 299 is 1
Given Input Data is 525, 403, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 403 is 13 x 31
Prime Factorization of 299 is 13 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(525, 403) = 211575
GCD(525, 403) = ( 525 x 403 ) / 211575
GCD(525, 403) = 211575 / 211575
GCD(525, 403) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
GCD of 525, 403, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 525, 403, 299?
GCD of 525, 403, 299 is 1
2. Where do I get the detailed procedure to find GCD of 525, 403, 299?
You can find a detailed procedure to find GCD of 525, 403, 299 on our page.
3. How to find GCD of 525, 403, 299 on a calculator?
You can find the GCD of 525, 403, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.