GCD of 405, 423, 984 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 405, 423, 984 i.e. 3 largest integer that divides all the numbers equally.
GCD of 405, 423, 984 is 3
GCD(405, 423, 984) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 405, 423, 984 is 3
GCD(405, 423, 984) = 3
GCDof 405,423,984 is 3
Given Input numbers are 405, 423, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 405, 423, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 423, 984 is 3.
Therefore, GCD of numbers 405, 423, 984 is 3
Given Input Data is 405, 423, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 405, 423, 984 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(405, 423) = 19035
GCD(405, 423) = ( 405 x 423 ) / 19035
GCD(405, 423) = 171315 / 19035
GCD(405, 423) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 984) = 2952
GCD(9, 984) = ( 9 x 984 ) / 2952
GCD(9, 984) = 8856 / 2952
GCD(9, 984) = 3
GCD of 405, 423, 984 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 405, 423, 984
1. What is the GCD of 405, 423, 984?
GCD of 405, 423, 984 is 3
2. Where do I get the detailed procedure to find GCD of 405, 423, 984?
You can find a detailed procedure to find GCD of 405, 423, 984 on our page.
3. How to find GCD of 405, 423, 984 on a calculator?
You can find the GCD of 405, 423, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.