Online GCD Calculator is useful to find the GCD of 480, 444, 168, 200 quickly. Get the easiest ways to solve the greatest common divisor of 480, 444, 168, 200 i.e 4 in different methods as follows.
Given Input numbers are 480, 444, 168, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
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 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (480, 444, 168, 200) = 4.
Given numbers are 480, 444, 168, 200
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 480, 444, 168, 200 is 4.
Given numbers are 480, 444, 168, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 444) = 17760
GCD(480, 444) = ( 480 x 444 ) / 17760
= 480 / 444
= 480
Step2:
LCM(12, 168) = 168
GCD(12, 168) = ( 12 x 168 ) / 168
= 12 / 168
= 12
Step3:
LCM(12, 200) = 600
GCD(12, 200) = ( 12 x 200 ) / 600
= 12 / 200
= 12
So, Greatest Common Divisor of 480, 444, 168, 200 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 444, 168, 200
The greatest common divisor of numbers 480, 444, 168, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 444, 168, 200 is 4.
1. What is the GCD of 480, 444, 168, 200?
GCD of given numbers 480, 444, 168, 200 is 4
2. How to calculate the greatest common divisor of 480, 444, 168, 200?
We can find the highest common divisor of 480, 444, 168, 200 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 480, 444, 168, 200 i.e 4.
3. How can I use the GCD of 480, 444, 168, 200Calculator?
Out the numbers 480, 444, 168, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.