Online GCD Calculator is useful to find the GCD of 180, 474, 660, 288 quickly. Get the easiest ways to solve the greatest common divisor of 180, 474, 660, 288 i.e 6 in different methods as follows.
Given Input numbers are 180, 474, 660, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (180, 474, 660, 288) = 6.
Given numbers are 180, 474, 660, 288
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 474 are 2 x 3 x 79
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21 x 31
Therefore, GCD of 180, 474, 660, 288 is 6.
Given numbers are 180, 474, 660, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 474) = 14220
GCD(180, 474) = ( 180 x 474 ) / 14220
= 180 / 474
= 180
Step2:
LCM(6, 660) = 660
GCD(6, 660) = ( 6 x 660 ) / 660
= 6 / 660
= 6
Step3:
LCM(6, 288) = 288
GCD(6, 288) = ( 6 x 288 ) / 288
= 6 / 288
= 6
So, Greatest Common Divisor of 180, 474, 660, 288 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 474, 660, 288
The greatest common divisor of numbers 180, 474, 660, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 474, 660, 288 is 6.
1. What is the GCD of 180, 474, 660, 288?
GCD of given numbers 180, 474, 660, 288 is 6
2. How to calculate the greatest common divisor of 180, 474, 660, 288?
We can find the highest common divisor of 180, 474, 660, 288 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 180, 474, 660, 288 i.e 6.
3. How can I use the GCD of 180, 474, 660, 288Calculator?
Out the numbers 180, 474, 660, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.