Online GCD Calculator is useful to find the GCD of 315, 870, 460 quickly. Get the easiest ways to solve the greatest common divisor of 315, 870, 460 i.e 5 in different methods as follows.
Given Input numbers are 315, 870, 460
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 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (315, 870, 460) = 5.
Given numbers are 315, 870, 460
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 460 are 2 x 2 x 5 x 23
The highest common occurrence is 51
Therefore, GCD of 315, 870, 460 is 5.
Given numbers are 315, 870, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 870) = 18270
GCD(315, 870) = ( 315 x 870 ) / 18270
= 315 / 870
= 315
Step2:
LCM(15, 460) = 1380
GCD(15, 460) = ( 15 x 460 ) / 1380
= 15 / 460
= 15
So, Greatest Common Divisor of 315, 870, 460 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 870, 460
The greatest common divisor of numbers 315, 870, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 870, 460 is 5.
1. What is the GCD of 315, 870, 460?
GCD of given numbers 315, 870, 460 is 5
2. How to calculate the greatest common divisor of 315, 870, 460?
We can find the highest common divisor of 315, 870, 460 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, 870, 460 i.e 5.
3. How can I use the GCD of 315, 870, 460Calculator?
Out the numbers 315, 870, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.