Online GCD Calculator is useful to find the GCD of 184, 392, 660, 728 quickly. Get the easiest ways to solve the greatest common divisor of 184, 392, 660, 728 i.e 4 in different methods as follows.
Given Input numbers are 184, 392, 660, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
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 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (184, 392, 660, 728) = 4.
Given numbers are 184, 392, 660, 728
The list of prime factors of all numbers are
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The highest common occurrence is 22
Therefore, GCD of 184, 392, 660, 728 is 4.
Given numbers are 184, 392, 660, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(184, 392) = 9016
GCD(184, 392) = ( 184 x 392 ) / 9016
= 184 / 392
= 184
Step2:
LCM(8, 660) = 1320
GCD(8, 660) = ( 8 x 660 ) / 1320
= 8 / 660
= 8
Step3:
LCM(4, 728) = 728
GCD(4, 728) = ( 4 x 728 ) / 728
= 4 / 728
= 4
So, Greatest Common Divisor of 184, 392, 660, 728 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 184, 392, 660, 728
The greatest common divisor of numbers 184, 392, 660, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 392, 660, 728 is 4.
1. What is the GCD of 184, 392, 660, 728?
GCD of given numbers 184, 392, 660, 728 is 4
2. How to calculate the greatest common divisor of 184, 392, 660, 728?
We can find the highest common divisor of 184, 392, 660, 728 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 184, 392, 660, 728 i.e 4.
3. How can I use the GCD of 184, 392, 660, 728Calculator?
Out the numbers 184, 392, 660, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.