Online GCD Calculator is useful to find the GCD of 225, 775, 109, 115 quickly. Get the easiest ways to solve the greatest common divisor of 225, 775, 109, 115 i.e 1 in different methods as follows.
Given Input numbers are 225, 775, 109, 115
In the factoring method, we have to find the divisors of all numbers
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 115 :
The positive integer divisors of 115 that completely divides 115 are.
1, 5, 23, 115
GCD of numbers is the greatest common divisor
So, the GCD (225, 775, 109, 115) = 1.
Given numbers are 225, 775, 109, 115
The list of prime factors of all numbers are
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 775 are 5 x 5 x 31
Prime factors of 109 are 109
Prime factors of 115 are 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 225, 775, 109, 115
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(225, 775) = 6975
GCD(225, 775) = ( 225 x 775 ) / 6975
= 225 / 775
= 225
Step2:
LCM(25, 109) = 2725
GCD(25, 109) = ( 25 x 109 ) / 2725
= 25 / 109
= 25
Step3:
LCM(1, 115) = 115
GCD(1, 115) = ( 1 x 115 ) / 115
= 1 / 115
= 1
So, Greatest Common Divisor of 225, 775, 109, 115 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 225, 775, 109, 115
The greatest common divisor of numbers 225, 775, 109, 115 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 775, 109, 115 is 1.
1. What is the GCD of 225, 775, 109, 115?
GCD of given numbers 225, 775, 109, 115 is 1
2. How to calculate the greatest common divisor of 225, 775, 109, 115?
We can find the highest common divisor of 225, 775, 109, 115 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 225, 775, 109, 115 i.e 1.
3. How can I use the GCD of 225, 775, 109, 115Calculator?
Out the numbers 225, 775, 109, 115 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.