Online GCD Calculator is useful to find the GCD of 444, 380, 384, 716 quickly. Get the easiest ways to solve the greatest common divisor of 444, 380, 384, 716 i.e 4 in different methods as follows.
Given Input numbers are 444, 380, 384, 716
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 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (444, 380, 384, 716) = 4.
Given numbers are 444, 380, 384, 716
The list of prime factors of all numbers are
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 716 are 2 x 2 x 179
The highest common occurrence is 22
Therefore, GCD of 444, 380, 384, 716 is 4.
Given numbers are 444, 380, 384, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(444, 380) = 42180
GCD(444, 380) = ( 444 x 380 ) / 42180
= 444 / 380
= 444
Step2:
LCM(4, 384) = 384
GCD(4, 384) = ( 4 x 384 ) / 384
= 4 / 384
= 4
Step3:
LCM(4, 716) = 716
GCD(4, 716) = ( 4 x 716 ) / 716
= 4 / 716
= 4
So, Greatest Common Divisor of 444, 380, 384, 716 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 444, 380, 384, 716
The greatest common divisor of numbers 444, 380, 384, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 380, 384, 716 is 4.
1. What is the GCD of 444, 380, 384, 716?
GCD of given numbers 444, 380, 384, 716 is 4
2. How to calculate the greatest common divisor of 444, 380, 384, 716?
We can find the highest common divisor of 444, 380, 384, 716 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, 380, 384, 716 i.e 4.
3. How can I use the GCD of 444, 380, 384, 716Calculator?
Out the numbers 444, 380, 384, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.