GCD of 963, 729, 417 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 963, 729, 417 i.e. 3 largest integer that divides all the numbers equally.
GCD of 963, 729, 417 is 3
GCD(963, 729, 417) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 729, 417 is 3
GCD(963, 729, 417) = 3
GCDof 963,729,417 is 3
Given Input numbers are 963, 729, 417
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Greatest Common Divisior
We found the divisors of 963, 729, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 729, 417 is 3.
Therefore, GCD of numbers 963, 729, 417 is 3
Given Input Data is 963, 729, 417
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 417 is 3 x 139
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 963, 729, 417 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(963, 729) = 78003
GCD(963, 729) = ( 963 x 729 ) / 78003
GCD(963, 729) = 702027 / 78003
GCD(963, 729) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 417
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 417) = 1251
GCD(9, 417) = ( 9 x 417 ) / 1251
GCD(9, 417) = 3753 / 1251
GCD(9, 417) = 3
GCD of 963, 729, 417 is 3
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FAQs on GCD of numbers 963, 729, 417
1. What is the GCD of 963, 729, 417?
GCD of 963, 729, 417 is 3
2. Where do I get the detailed procedure to find GCD of 963, 729, 417?
You can find a detailed procedure to find GCD of 963, 729, 417 on our page.
3. How to find GCD of 963, 729, 417 on a calculator?
You can find the GCD of 963, 729, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.