Online GCD Calculator is useful to find the GCD of 444, 423, 366, 360 quickly. Get the easiest ways to solve the greatest common divisor of 444, 423, 366, 360 i.e 3 in different methods as follows.
Given Input numbers are 444, 423, 366, 360
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 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (444, 423, 366, 360) = 3.
Given numbers are 444, 423, 366, 360
The list of prime factors of all numbers are
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 423 are 3 x 3 x 47
Prime factors of 366 are 2 x 3 x 61
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 444, 423, 366, 360 is 3.
Given numbers are 444, 423, 366, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(444, 423) = 62604
GCD(444, 423) = ( 444 x 423 ) / 62604
= 444 / 423
= 444
Step2:
LCM(3, 366) = 366
GCD(3, 366) = ( 3 x 366 ) / 366
= 3 / 366
= 3
Step3:
LCM(3, 360) = 360
GCD(3, 360) = ( 3 x 360 ) / 360
= 3 / 360
= 3
So, Greatest Common Divisor of 444, 423, 366, 360 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 444, 423, 366, 360
The greatest common divisor of numbers 444, 423, 366, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 423, 366, 360 is 3.
1. What is the GCD of 444, 423, 366, 360?
GCD of given numbers 444, 423, 366, 360 is 3
2. How to calculate the greatest common divisor of 444, 423, 366, 360?
We can find the highest common divisor of 444, 423, 366, 360 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, 423, 366, 360 i.e 3.
3. How can I use the GCD of 444, 423, 366, 360Calculator?
Out the numbers 444, 423, 366, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.