Online GCD Calculator is useful to find the GCD of 480, 810, 310 quickly. Get the easiest ways to solve the greatest common divisor of 480, 810, 310 i.e 10 in different methods as follows.
Given Input numbers are 480, 810, 310
In the factoring method, we have to find the divisors of all numbers
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
GCD of numbers is the greatest common divisor
So, the GCD (480, 810, 310) = 10.
Given numbers are 480, 810, 310
The list of prime factors of all numbers are
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 310 are 2 x 5 x 31
The highest common occurrence is 21 x 51
Therefore, GCD of 480, 810, 310 is 10.
Given numbers are 480, 810, 310
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(480, 810) = 12960
GCD(480, 810) = ( 480 x 810 ) / 12960
= 480 / 810
= 480
Step2:
LCM(30, 310) = 930
GCD(30, 310) = ( 30 x 310 ) / 930
= 30 / 310
= 30
So, Greatest Common Divisor of 480, 810, 310 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 480, 810, 310
The greatest common divisor of numbers 480, 810, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 810, 310 is 10.
1. What is the GCD of 480, 810, 310?
GCD of given numbers 480, 810, 310 is 10
2. How to calculate the greatest common divisor of 480, 810, 310?
We can find the highest common divisor of 480, 810, 310 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 480, 810, 310 i.e 10.
3. How can I use the GCD of 480, 810, 310Calculator?
Out the numbers 480, 810, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.