GCD of 513, 531, 197 Calculator
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 513, 531, 197 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 531, 197 is 1
GCD(513, 531, 197) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 531, 197 is 1
GCD(513, 531, 197) = 1
GCDof 513,531,197 is 1
Given Input numbers are 513, 531, 197
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Greatest Common Divisior
We found the divisors of 513, 531, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 531, 197 is 1.
Therefore, GCD of numbers 513, 531, 197 is 1
Given Input Data is 513, 531, 197
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 197 is 197
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 513, 531, 197 using LCM Formula
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(513, 531) = 30267
GCD(513, 531) = ( 513 x 531 ) / 30267
GCD(513, 531) = 272403 / 30267
GCD(513, 531) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 197) = 1773
GCD(9, 197) = ( 9 x 197 ) / 1773
GCD(9, 197) = 1773 / 1773
GCD(9, 197) = 1
GCD of 513, 531, 197 is 1
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FAQs on GCD of numbers 513, 531, 197
1. What is the GCD of 513, 531, 197?
GCD of 513, 531, 197 is 1
2. Where do I get the detailed procedure to find GCD of 513, 531, 197?
You can find a detailed procedure to find GCD of 513, 531, 197 on our page.
3. How to find GCD of 513, 531, 197 on a calculator?
You can find the GCD of 513, 531, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.