GCD of 744, 900, 444 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 744, 900, 444 quickly. Get the easiest ways to solve the greatest common divisor of 744, 900, 444 i.e 12 in different methods as follows.
Given Input numbers are 744, 900, 444
In the factoring method, we have to find the divisors of all numbers
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
GCD of numbers is the greatest common divisor
So, the GCD (744, 900, 444) = 12.
Given numbers are 744, 900, 444
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 444 are 2 x 2 x 3 x 37
The highest common occurrence is 22 x 31
Therefore, GCD of 744, 900, 444 is 12.
Steps to Calculate GCD of 744, 900, 444 using LCM Formula
Given numbers are 744, 900, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 900) = 55800
GCD(744, 900) = ( 744 x 900 ) / 55800
= 744 / 900
= 744
Step2:
LCM(12, 444) = 444
GCD(12, 444) = ( 12 x 444 ) / 444
= 12 / 444
= 12
So, Greatest Common Divisor of 744, 900, 444 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 744, 900, 444
Given numbers are 744, 900, 444
The greatest common divisor of numbers 744, 900, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 900, 444 is 12.
FAQs on GCD of 744, 900, 444 Calculator
1. What is the GCD of 744, 900, 444?
GCD of given numbers 744, 900, 444 is 12
2. How to calculate the greatest common divisor of 744, 900, 444?
We can find the highest common divisor of 744, 900, 444 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 744, 900, 444 i.e 12.
3. How can I use the GCD of 744, 900, 444Calculator?
Out the numbers 744, 900, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.