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 275, 925, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 925, 517 is 1
GCD(275, 925, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 925, 517 is 1
GCD(275, 925, 517) = 1
Given Input numbers are 275, 925, 517
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 275, 925, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 925, 517 is 1.
Therefore, GCD of numbers 275, 925, 517 is 1
Given Input Data is 275, 925, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 517 is 11 x 47
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(275, 925) = 10175
GCD(275, 925) = ( 275 x 925 ) / 10175
GCD(275, 925) = 254375 / 10175
GCD(275, 925) = 25
Step2:
Here we consider the GCD from the above i.e. 25 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(25, 517) = 12925
GCD(25, 517) = ( 25 x 517 ) / 12925
GCD(25, 517) = 12925 / 12925
GCD(25, 517) = 1
GCD of 275, 925, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 925, 517?
GCD of 275, 925, 517 is 1
2. Where do I get the detailed procedure to find GCD of 275, 925, 517?
You can find a detailed procedure to find GCD of 275, 925, 517 on our page.
3. How to find GCD of 275, 925, 517 on a calculator?
You can find the GCD of 275, 925, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.