Online GCD Calculator is useful to find the GCD of 144, 604, 200, 880 quickly. Get the easiest ways to solve the greatest common divisor of 144, 604, 200, 880 i.e 4 in different methods as follows.
Given Input numbers are 144, 604, 200, 880
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
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
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
GCD of numbers is the greatest common divisor
So, the GCD (144, 604, 200, 880) = 4.
Given numbers are 144, 604, 200, 880
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 604 are 2 x 2 x 151
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
The highest common occurrence is 22
Therefore, GCD of 144, 604, 200, 880 is 4.
Given numbers are 144, 604, 200, 880
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 604) = 21744
GCD(144, 604) = ( 144 x 604 ) / 21744
= 144 / 604
= 144
Step2:
LCM(4, 200) = 200
GCD(4, 200) = ( 4 x 200 ) / 200
= 4 / 200
= 4
Step3:
LCM(4, 880) = 880
GCD(4, 880) = ( 4 x 880 ) / 880
= 4 / 880
= 4
So, Greatest Common Divisor of 144, 604, 200, 880 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 604, 200, 880
The greatest common divisor of numbers 144, 604, 200, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 604, 200, 880 is 4.
1. What is the GCD of 144, 604, 200, 880?
GCD of given numbers 144, 604, 200, 880 is 4
2. How to calculate the greatest common divisor of 144, 604, 200, 880?
We can find the highest common divisor of 144, 604, 200, 880 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 144, 604, 200, 880 i.e 4.
3. How can I use the GCD of 144, 604, 200, 880Calculator?
Out the numbers 144, 604, 200, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.