Online GCD Calculator is useful to find the GCD of 186, 396, 777, 660 quickly. Get the easiest ways to solve the greatest common divisor of 186, 396, 777, 660 i.e 3 in different methods as follows.
Given Input numbers are 186, 396, 777, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
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
GCD of numbers is the greatest common divisor
So, the GCD (186, 396, 777, 660) = 3.
Given numbers are 186, 396, 777, 660
The list of prime factors of all numbers are
Prime factors of 186 are 2 x 3 x 31
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 777 are 3 x 7 x 37
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 31
Therefore, GCD of 186, 396, 777, 660 is 3.
Given numbers are 186, 396, 777, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(186, 396) = 12276
GCD(186, 396) = ( 186 x 396 ) / 12276
= 186 / 396
= 186
Step2:
LCM(6, 777) = 1554
GCD(6, 777) = ( 6 x 777 ) / 1554
= 6 / 777
= 6
Step3:
LCM(3, 660) = 660
GCD(3, 660) = ( 3 x 660 ) / 660
= 3 / 660
= 3
So, Greatest Common Divisor of 186, 396, 777, 660 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 186, 396, 777, 660
The greatest common divisor of numbers 186, 396, 777, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 186, 396, 777, 660 is 3.
1. What is the GCD of 186, 396, 777, 660?
GCD of given numbers 186, 396, 777, 660 is 3
2. How to calculate the greatest common divisor of 186, 396, 777, 660?
We can find the highest common divisor of 186, 396, 777, 660 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 186, 396, 777, 660 i.e 3.
3. How can I use the GCD of 186, 396, 777, 660Calculator?
Out the numbers 186, 396, 777, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.