Online GCD Calculator is useful to find the GCD of 393, 177, 198, 780 quickly. Get the easiest ways to solve the greatest common divisor of 393, 177, 198, 780 i.e 3 in different methods as follows.
Given Input numbers are 393, 177, 198, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (393, 177, 198, 780) = 3.
Given numbers are 393, 177, 198, 780
The list of prime factors of all numbers are
Prime factors of 393 are 3 x 131
Prime factors of 177 are 3 x 59
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 393, 177, 198, 780 is 3.
Given numbers are 393, 177, 198, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(393, 177) = 23187
GCD(393, 177) = ( 393 x 177 ) / 23187
= 393 / 177
= 393
Step2:
LCM(3, 198) = 198
GCD(3, 198) = ( 3 x 198 ) / 198
= 3 / 198
= 3
Step3:
LCM(3, 780) = 780
GCD(3, 780) = ( 3 x 780 ) / 780
= 3 / 780
= 3
So, Greatest Common Divisor of 393, 177, 198, 780 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 393, 177, 198, 780
The greatest common divisor of numbers 393, 177, 198, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 393, 177, 198, 780 is 3.
1. What is the GCD of 393, 177, 198, 780?
GCD of given numbers 393, 177, 198, 780 is 3
2. How to calculate the greatest common divisor of 393, 177, 198, 780?
We can find the highest common divisor of 393, 177, 198, 780 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 393, 177, 198, 780 i.e 3.
3. How can I use the GCD of 393, 177, 198, 780Calculator?
Out the numbers 393, 177, 198, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.