GCD of 444, 972, 924 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 444, 972, 924 quickly. Get the easiest ways to solve the greatest common divisor of 444, 972, 924 i.e 12 in different methods as follows.
Given Input numbers are 444, 972, 924
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
GCD of numbers is the greatest common divisor
So, the GCD (444, 972, 924) = 12.
Given numbers are 444, 972, 924
The list of prime factors of all numbers are
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
The highest common occurrence is 22 x 31
Therefore, GCD of 444, 972, 924 is 12.
Steps to Calculate GCD of 444, 972, 924 using LCM Formula
Given numbers are 444, 972, 924
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(444, 972) = 35964
GCD(444, 972) = ( 444 x 972 ) / 35964
= 444 / 972
= 444
Step2:
LCM(12, 924) = 924
GCD(12, 924) = ( 12 x 924 ) / 924
= 12 / 924
= 12
So, Greatest Common Divisor of 444, 972, 924 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 444, 972, 924
Given numbers are 444, 972, 924
The greatest common divisor of numbers 444, 972, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 972, 924 is 12.
FAQs on GCD of 444, 972, 924 Calculator
1. What is the GCD of 444, 972, 924?
GCD of given numbers 444, 972, 924 is 12
2. How to calculate the greatest common divisor of 444, 972, 924?
We can find the highest common divisor of 444, 972, 924 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 444, 972, 924 i.e 12.
3. How can I use the GCD of 444, 972, 924Calculator?
Out the numbers 444, 972, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.