Online GCD Calculator is useful to find the GCD of 444, 284, 720, 358 quickly. Get the easiest ways to solve the greatest common divisor of 444, 284, 720, 358 i.e 2 in different methods as follows.
Given Input numbers are 444, 284, 720, 358
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 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
GCD of numbers is the greatest common divisor
So, the GCD (444, 284, 720, 358) = 2.
Given numbers are 444, 284, 720, 358
The list of prime factors of all numbers are
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 284 are 2 x 2 x 71
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 358 are 2 x 179
The highest common occurrence is 21
Therefore, GCD of 444, 284, 720, 358 is 2.
Given numbers are 444, 284, 720, 358
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(444, 284) = 31524
GCD(444, 284) = ( 444 x 284 ) / 31524
= 444 / 284
= 444
Step2:
LCM(4, 720) = 720
GCD(4, 720) = ( 4 x 720 ) / 720
= 4 / 720
= 4
Step3:
LCM(4, 358) = 716
GCD(4, 358) = ( 4 x 358 ) / 716
= 4 / 358
= 4
So, Greatest Common Divisor of 444, 284, 720, 358 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 444, 284, 720, 358
The greatest common divisor of numbers 444, 284, 720, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 284, 720, 358 is 2.
1. What is the GCD of 444, 284, 720, 358?
GCD of given numbers 444, 284, 720, 358 is 2
2. How to calculate the greatest common divisor of 444, 284, 720, 358?
We can find the highest common divisor of 444, 284, 720, 358 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, 284, 720, 358 i.e 2.
3. How can I use the GCD of 444, 284, 720, 358Calculator?
Out the numbers 444, 284, 720, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.