Online GCD Calculator is useful to find the GCD of 129, 747, 804 quickly. Get the easiest ways to solve the greatest common divisor of 129, 747, 804 i.e 3 in different methods as follows.
Given Input numbers are 129, 747, 804
In the factoring method, we have to find the divisors of all numbers
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 804 :
The positive integer divisors of 804 that completely divides 804 are.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
GCD of numbers is the greatest common divisor
So, the GCD (129, 747, 804) = 3.
Given numbers are 129, 747, 804
The list of prime factors of all numbers are
Prime factors of 129 are 3 x 43
Prime factors of 747 are 3 x 3 x 83
Prime factors of 804 are 2 x 2 x 3 x 67
The highest common occurrence is 31
Therefore, GCD of 129, 747, 804 is 3.
Given numbers are 129, 747, 804
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(129, 747) = 32121
GCD(129, 747) = ( 129 x 747 ) / 32121
= 129 / 747
= 129
Step2:
LCM(3, 804) = 804
GCD(3, 804) = ( 3 x 804 ) / 804
= 3 / 804
= 3
So, Greatest Common Divisor of 129, 747, 804 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 129, 747, 804
The greatest common divisor of numbers 129, 747, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 747, 804 is 3.
1. What is the GCD of 129, 747, 804?
GCD of given numbers 129, 747, 804 is 3
2. How to calculate the greatest common divisor of 129, 747, 804?
We can find the highest common divisor of 129, 747, 804 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 129, 747, 804 i.e 3.
3. How can I use the GCD of 129, 747, 804Calculator?
Out the numbers 129, 747, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.