GCD of 648, 372, 459 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 648, 372, 459 i.e. 3 largest integer that divides all the numbers equally.
GCD of 648, 372, 459 is 3
GCD(648, 372, 459) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 648, 372, 459 is 3
GCD(648, 372, 459) = 3
GCDof 648,372,459 is 3
Given Input numbers are 648, 372, 459
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Greatest Common Divisior
We found the divisors of 648, 372, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 372, 459 is 3.
Therefore, GCD of numbers 648, 372, 459 is 3
Given Input Data is 648, 372, 459
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 459 is 3 x 3 x 3 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 648, 372, 459 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(648, 372) = 20088
GCD(648, 372) = ( 648 x 372 ) / 20088
GCD(648, 372) = 241056 / 20088
GCD(648, 372) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 459) = 1836
GCD(12, 459) = ( 12 x 459 ) / 1836
GCD(12, 459) = 5508 / 1836
GCD(12, 459) = 3
GCD of 648, 372, 459 is 3
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 648, 372, 459
1. What is the GCD of 648, 372, 459?
GCD of 648, 372, 459 is 3
2. Where do I get the detailed procedure to find GCD of 648, 372, 459?
You can find a detailed procedure to find GCD of 648, 372, 459 on our page.
3. How to find GCD of 648, 372, 459 on a calculator?
You can find the GCD of 648, 372, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.