Online GCD Calculator is useful to find the GCD of 115, 351, 144, 225 quickly. Get the easiest ways to solve the greatest common divisor of 115, 351, 144, 225 i.e 1 in different methods as follows.
Given Input numbers are 115, 351, 144, 225
In the factoring method, we have to find the divisors of all numbers
Divisors of 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
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
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (115, 351, 144, 225) = 1.
Given numbers are 115, 351, 144, 225
The list of prime factors of all numbers are
Prime factors of 115 are 5 x 23
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 115, 351, 144, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(115, 351) = 40365
GCD(115, 351) = ( 115 x 351 ) / 40365
= 115 / 351
= 115
Step2:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
Step3:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 115, 351, 144, 225 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 115, 351, 144, 225
The greatest common divisor of numbers 115, 351, 144, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 115, 351, 144, 225 is 1.
1. What is the GCD of 115, 351, 144, 225?
GCD of given numbers 115, 351, 144, 225 is 1
2. How to calculate the greatest common divisor of 115, 351, 144, 225?
We can find the highest common divisor of 115, 351, 144, 225 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 115, 351, 144, 225 i.e 1.
3. How can I use the GCD of 115, 351, 144, 225Calculator?
Out the numbers 115, 351, 144, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.