GCD of 495, 195, 516 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 495, 195, 516 i.e. 3 largest integer that divides all the numbers equally.
GCD of 495, 195, 516 is 3
GCD(495, 195, 516) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 195, 516 is 3
GCD(495, 195, 516) = 3
GCDof 495,195,516 is 3
Given Input numbers are 495, 195, 516
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Greatest Common Divisior
We found the divisors of 495, 195, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 195, 516 is 3.
Therefore, GCD of numbers 495, 195, 516 is 3
Given Input Data is 495, 195, 516
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 516 is 2 x 2 x 3 x 43
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 495, 195, 516 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(495, 195) = 6435
GCD(495, 195) = ( 495 x 195 ) / 6435
GCD(495, 195) = 96525 / 6435
GCD(495, 195) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 516
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 516) = 2580
GCD(15, 516) = ( 15 x 516 ) / 2580
GCD(15, 516) = 7740 / 2580
GCD(15, 516) = 3
GCD of 495, 195, 516 is 3
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FAQs on GCD of numbers 495, 195, 516
1. What is the GCD of 495, 195, 516?
GCD of 495, 195, 516 is 3
2. Where do I get the detailed procedure to find GCD of 495, 195, 516?
You can find a detailed procedure to find GCD of 495, 195, 516 on our page.
3. How to find GCD of 495, 195, 516 on a calculator?
You can find the GCD of 495, 195, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.