Online GCD Calculator is useful to find the GCD of 815, 465, 144 quickly. Get the easiest ways to solve the greatest common divisor of 815, 465, 144 i.e 1 in different methods as follows.
Given Input numbers are 815, 465, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 815 :
The positive integer divisors of 815 that completely divides 815 are.
1, 5, 163, 815
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (815, 465, 144) = 1.
Given numbers are 815, 465, 144
The list of prime factors of all numbers are
Prime factors of 815 are 5 x 163
Prime factors of 465 are 3 x 5 x 31
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 815, 465, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(815, 465) = 75795
GCD(815, 465) = ( 815 x 465 ) / 75795
= 815 / 465
= 815
Step2:
LCM(5, 144) = 720
GCD(5, 144) = ( 5 x 144 ) / 720
= 5 / 144
= 5
So, Greatest Common Divisor of 815, 465, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 815, 465, 144
The greatest common divisor of numbers 815, 465, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 815, 465, 144 is 1.
1. What is the GCD of 815, 465, 144?
GCD of given numbers 815, 465, 144 is 1
2. How to calculate the greatest common divisor of 815, 465, 144?
We can find the highest common divisor of 815, 465, 144 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 815, 465, 144 i.e 1.
3. How can I use the GCD of 815, 465, 144Calculator?
Out the numbers 815, 465, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.