Online GCD Calculator is useful to find the GCD of 315, 444, 633, 471 quickly. Get the easiest ways to solve the greatest common divisor of 315, 444, 633, 471 i.e 3 in different methods as follows.
Given Input numbers are 315, 444, 633, 471
In the factoring method, we have to find the divisors of all numbers
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 633 :
The positive integer divisors of 633 that completely divides 633 are.
1, 3, 211, 633
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
GCD of numbers is the greatest common divisor
So, the GCD (315, 444, 633, 471) = 3.
Given numbers are 315, 444, 633, 471
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 633 are 3 x 211
Prime factors of 471 are 3 x 157
The highest common occurrence is 31
Therefore, GCD of 315, 444, 633, 471 is 3.
Given numbers are 315, 444, 633, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 444) = 46620
GCD(315, 444) = ( 315 x 444 ) / 46620
= 315 / 444
= 315
Step2:
LCM(3, 633) = 633
GCD(3, 633) = ( 3 x 633 ) / 633
= 3 / 633
= 3
Step3:
LCM(3, 471) = 471
GCD(3, 471) = ( 3 x 471 ) / 471
= 3 / 471
= 3
So, Greatest Common Divisor of 315, 444, 633, 471 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 444, 633, 471
The greatest common divisor of numbers 315, 444, 633, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 444, 633, 471 is 3.
1. What is the GCD of 315, 444, 633, 471?
GCD of given numbers 315, 444, 633, 471 is 3
2. How to calculate the greatest common divisor of 315, 444, 633, 471?
We can find the highest common divisor of 315, 444, 633, 471 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 315, 444, 633, 471 i.e 3.
3. How can I use the GCD of 315, 444, 633, 471Calculator?
Out the numbers 315, 444, 633, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.