Online GCD Calculator is useful to find the GCD of 428, 444, 872 quickly. Get the easiest ways to solve the greatest common divisor of 428, 444, 872 i.e 4 in different methods as follows.
Given Input numbers are 428, 444, 872
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
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 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
GCD of numbers is the greatest common divisor
So, the GCD (428, 444, 872) = 4.
Given numbers are 428, 444, 872
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 872 are 2 x 2 x 2 x 109
The highest common occurrence is 22
Therefore, GCD of 428, 444, 872 is 4.
Given numbers are 428, 444, 872
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 444) = 47508
GCD(428, 444) = ( 428 x 444 ) / 47508
= 428 / 444
= 428
Step2:
LCM(4, 872) = 872
GCD(4, 872) = ( 4 x 872 ) / 872
= 4 / 872
= 4
So, Greatest Common Divisor of 428, 444, 872 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 444, 872
The greatest common divisor of numbers 428, 444, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 444, 872 is 4.
1. What is the GCD of 428, 444, 872?
GCD of given numbers 428, 444, 872 is 4
2. How to calculate the greatest common divisor of 428, 444, 872?
We can find the highest common divisor of 428, 444, 872 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 428, 444, 872 i.e 4.
3. How can I use the GCD of 428, 444, 872Calculator?
Out the numbers 428, 444, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.