Online GCD Calculator is useful to find the GCD of 447, 402, 27, 831 quickly. Get the easiest ways to solve the greatest common divisor of 447, 402, 27, 831 i.e 3 in different methods as follows.
Given Input numbers are 447, 402, 27, 831
In the factoring method, we have to find the divisors of all numbers
Divisors of 447 :
The positive integer divisors of 447 that completely divides 447 are.
1, 3, 149, 447
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 27 :
The positive integer divisors of 27 that completely divides 27 are.
1, 3, 9, 27
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
GCD of numbers is the greatest common divisor
So, the GCD (447, 402, 27, 831) = 3.
Given numbers are 447, 402, 27, 831
The list of prime factors of all numbers are
Prime factors of 447 are 3 x 149
Prime factors of 402 are 2 x 3 x 67
Prime factors of 27 are 3 x 3 x 3
Prime factors of 831 are 3 x 277
The highest common occurrence is 31
Therefore, GCD of 447, 402, 27, 831 is 3.
Given numbers are 447, 402, 27, 831
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(447, 402) = 59898
GCD(447, 402) = ( 447 x 402 ) / 59898
= 447 / 402
= 447
Step2:
LCM(3, 27) = 27
GCD(3, 27) = ( 3 x 27 ) / 27
= 3 / 27
= 3
Step3:
LCM(3, 831) = 831
GCD(3, 831) = ( 3 x 831 ) / 831
= 3 / 831
= 3
So, Greatest Common Divisor of 447, 402, 27, 831 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 447, 402, 27, 831
The greatest common divisor of numbers 447, 402, 27, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 447, 402, 27, 831 is 3.
1. What is the GCD of 447, 402, 27, 831?
GCD of given numbers 447, 402, 27, 831 is 3
2. How to calculate the greatest common divisor of 447, 402, 27, 831?
We can find the highest common divisor of 447, 402, 27, 831 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 447, 402, 27, 831 i.e 3.
3. How can I use the GCD of 447, 402, 27, 831Calculator?
Out the numbers 447, 402, 27, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.