Online GCD Calculator is useful to find the GCD of 786, 864, 364, 126 quickly. Get the easiest ways to solve the greatest common divisor of 786, 864, 364, 126 i.e 2 in different methods as follows.
Given Input numbers are 786, 864, 364, 126
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 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (786, 864, 364, 126) = 2.
Given numbers are 786, 864, 364, 126
The list of prime factors of all numbers are
Prime factors of 786 are 2 x 3 x 131
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 786, 864, 364, 126 is 2.
Given numbers are 786, 864, 364, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(786, 864) = 113184
GCD(786, 864) = ( 786 x 864 ) / 113184
= 786 / 864
= 786
Step2:
LCM(6, 364) = 1092
GCD(6, 364) = ( 6 x 364 ) / 1092
= 6 / 364
= 6
Step3:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
So, Greatest Common Divisor of 786, 864, 364, 126 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 786, 864, 364, 126
The greatest common divisor of numbers 786, 864, 364, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 786, 864, 364, 126 is 2.
1. What is the GCD of 786, 864, 364, 126?
GCD of given numbers 786, 864, 364, 126 is 2
2. How to calculate the greatest common divisor of 786, 864, 364, 126?
We can find the highest common divisor of 786, 864, 364, 126 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, 864, 364, 126 i.e 2.
3. How can I use the GCD of 786, 864, 364, 126Calculator?
Out the numbers 786, 864, 364, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.