Online GCD Calculator is useful to find the GCD of 786, 159, 129, 372 quickly. Get the easiest ways to solve the greatest common divisor of 786, 159, 129, 372 i.e 3 in different methods as follows.
Given Input numbers are 786, 159, 129, 372
In the factoring method, we have to find the divisors of all numbers
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
GCD of numbers is the greatest common divisor
So, the GCD (786, 159, 129, 372) = 3.
Given numbers are 786, 159, 129, 372
The list of prime factors of all numbers are
Prime factors of 786 are 2 x 3 x 131
Prime factors of 159 are 3 x 53
Prime factors of 129 are 3 x 43
Prime factors of 372 are 2 x 2 x 3 x 31
The highest common occurrence is 31
Therefore, GCD of 786, 159, 129, 372 is 3.
Given numbers are 786, 159, 129, 372
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(786, 159) = 41658
GCD(786, 159) = ( 786 x 159 ) / 41658
= 786 / 159
= 786
Step2:
LCM(3, 129) = 129
GCD(3, 129) = ( 3 x 129 ) / 129
= 3 / 129
= 3
Step3:
LCM(3, 372) = 372
GCD(3, 372) = ( 3 x 372 ) / 372
= 3 / 372
= 3
So, Greatest Common Divisor of 786, 159, 129, 372 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 786, 159, 129, 372
The greatest common divisor of numbers 786, 159, 129, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 786, 159, 129, 372 is 3.
1. What is the GCD of 786, 159, 129, 372?
GCD of given numbers 786, 159, 129, 372 is 3
2. How to calculate the greatest common divisor of 786, 159, 129, 372?
We can find the highest common divisor of 786, 159, 129, 372 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 786, 159, 129, 372 i.e 3.
3. How can I use the GCD of 786, 159, 129, 372Calculator?
Out the numbers 786, 159, 129, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.