Online GCD Calculator is useful to find the GCD of 804, 690, 792, 405 quickly. Get the easiest ways to solve the greatest common divisor of 804, 690, 792, 405 i.e 3 in different methods as follows.
Given Input numbers are 804, 690, 792, 405
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
GCD of numbers is the greatest common divisor
So, the GCD (804, 690, 792, 405) = 3.
Given numbers are 804, 690, 792, 405
The list of prime factors of all numbers are
Prime factors of 804 are 2 x 2 x 3 x 67
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 804, 690, 792, 405 is 3.
Given numbers are 804, 690, 792, 405
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(804, 690) = 92460
GCD(804, 690) = ( 804 x 690 ) / 92460
= 804 / 690
= 804
Step2:
LCM(6, 792) = 792
GCD(6, 792) = ( 6 x 792 ) / 792
= 6 / 792
= 6
Step3:
LCM(6, 405) = 810
GCD(6, 405) = ( 6 x 405 ) / 810
= 6 / 405
= 6
So, Greatest Common Divisor of 804, 690, 792, 405 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 804, 690, 792, 405
The greatest common divisor of numbers 804, 690, 792, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 690, 792, 405 is 3.
1. What is the GCD of 804, 690, 792, 405?
GCD of given numbers 804, 690, 792, 405 is 3
2. How to calculate the greatest common divisor of 804, 690, 792, 405?
We can find the highest common divisor of 804, 690, 792, 405 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 804, 690, 792, 405 i.e 3.
3. How can I use the GCD of 804, 690, 792, 405Calculator?
Out the numbers 804, 690, 792, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.