Online GCD Calculator is useful to find the GCD of 402, 471, 804 quickly. Get the easiest ways to solve the greatest common divisor of 402, 471, 804 i.e 3 in different methods as follows.
Given Input numbers are 402, 471, 804
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
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 (402, 471, 804) = 3.
Given numbers are 402, 471, 804
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 471 are 3 x 157
Prime factors of 804 are 2 x 2 x 3 x 67
The highest common occurrence is 31
Therefore, GCD of 402, 471, 804 is 3.
Given numbers are 402, 471, 804
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 471) = 63114
GCD(402, 471) = ( 402 x 471 ) / 63114
= 402 / 471
= 402
Step2:
LCM(3, 804) = 804
GCD(3, 804) = ( 3 x 804 ) / 804
= 3 / 804
= 3
So, Greatest Common Divisor of 402, 471, 804 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 471, 804
The greatest common divisor of numbers 402, 471, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 471, 804 is 3.
1. What is the GCD of 402, 471, 804?
GCD of given numbers 402, 471, 804 is 3
2. How to calculate the greatest common divisor of 402, 471, 804?
We can find the highest common divisor of 402, 471, 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 402, 471, 804 i.e 3.
3. How can I use the GCD of 402, 471, 804Calculator?
Out the numbers 402, 471, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.