GCD of 549, 732, 444 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 549, 732, 444 i.e. 3 largest integer that divides all the numbers equally.
GCD of 549, 732, 444 is 3
GCD(549, 732, 444) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 549, 732, 444 is 3
GCD(549, 732, 444) = 3
GCDof 549,732,444 is 3
Given Input numbers are 549, 732, 444
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Greatest Common Divisior
We found the divisors of 549, 732, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 732, 444 is 3.
Therefore, GCD of numbers 549, 732, 444 is 3
Given Input Data is 549, 732, 444
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 444 is 2 x 2 x 3 x 37
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 549, 732, 444 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(549, 732) = 2196
GCD(549, 732) = ( 549 x 732 ) / 2196
GCD(549, 732) = 401868 / 2196
GCD(549, 732) = 183
Step2:
Here we consider the GCD from the above i.e. 183 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(183, 444) = 27084
GCD(183, 444) = ( 183 x 444 ) / 27084
GCD(183, 444) = 81252 / 27084
GCD(183, 444) = 3
GCD of 549, 732, 444 is 3
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FAQs on GCD of numbers 549, 732, 444
1. What is the GCD of 549, 732, 444?
GCD of 549, 732, 444 is 3
2. Where do I get the detailed procedure to find GCD of 549, 732, 444?
You can find a detailed procedure to find GCD of 549, 732, 444 on our page.
3. How to find GCD of 549, 732, 444 on a calculator?
You can find the GCD of 549, 732, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.