Online GCD Calculator is useful to find the GCD of 315, 885, 240 quickly. Get the easiest ways to solve the greatest common divisor of 315, 885, 240 i.e 15 in different methods as follows.
Given Input numbers are 315, 885, 240
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 885 :
The positive integer divisors of 885 that completely divides 885 are.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
GCD of numbers is the greatest common divisor
So, the GCD (315, 885, 240) = 15.
Given numbers are 315, 885, 240
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 885 are 3 x 5 x 59
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31 x 51
Therefore, GCD of 315, 885, 240 is 15.
Given numbers are 315, 885, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 885) = 18585
GCD(315, 885) = ( 315 x 885 ) / 18585
= 315 / 885
= 315
Step2:
LCM(15, 240) = 240
GCD(15, 240) = ( 15 x 240 ) / 240
= 15 / 240
= 15
So, Greatest Common Divisor of 315, 885, 240 is 15
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 885, 240
The greatest common divisor of numbers 315, 885, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 885, 240 is 15.
1. What is the GCD of 315, 885, 240?
GCD of given numbers 315, 885, 240 is 15
2. How to calculate the greatest common divisor of 315, 885, 240?
We can find the highest common divisor of 315, 885, 240 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, 885, 240 i.e 15.
3. How can I use the GCD of 315, 885, 240Calculator?
Out the numbers 315, 885, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.