Online GCD Calculator is useful to find the GCD of 198, 171, 564, 780 quickly. Get the easiest ways to solve the greatest common divisor of 198, 171, 564, 780 i.e 3 in different methods as follows.
Given Input numbers are 198, 171, 564, 780
In the factoring method, we have to find the divisors of all numbers
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 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
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 (198, 171, 564, 780) = 3.
Given numbers are 198, 171, 564, 780
The list of prime factors of all numbers are
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 171 are 3 x 3 x 19
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 198, 171, 564, 780 is 3.
Given numbers are 198, 171, 564, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(198, 171) = 3762
GCD(198, 171) = ( 198 x 171 ) / 3762
= 198 / 171
= 198
Step2:
LCM(9, 564) = 1692
GCD(9, 564) = ( 9 x 564 ) / 1692
= 9 / 564
= 9
Step3:
LCM(3, 780) = 780
GCD(3, 780) = ( 3 x 780 ) / 780
= 3 / 780
= 3
So, Greatest Common Divisor of 198, 171, 564, 780 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 198, 171, 564, 780
The greatest common divisor of numbers 198, 171, 564, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 171, 564, 780 is 3.
1. What is the GCD of 198, 171, 564, 780?
GCD of given numbers 198, 171, 564, 780 is 3
2. How to calculate the greatest common divisor of 198, 171, 564, 780?
We can find the highest common divisor of 198, 171, 564, 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 198, 171, 564, 780 i.e 3.
3. How can I use the GCD of 198, 171, 564, 780Calculator?
Out the numbers 198, 171, 564, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.