Online GCD Calculator is useful to find the GCD of 301, 372, 225, 289 quickly. Get the easiest ways to solve the greatest common divisor of 301, 372, 225, 289 i.e 1 in different methods as follows.
Given Input numbers are 301, 372, 225, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 301 :
The positive integer divisors of 301 that completely divides 301 are.
1, 7, 43, 301
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
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 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (301, 372, 225, 289) = 1.
Given numbers are 301, 372, 225, 289
The list of prime factors of all numbers are
Prime factors of 301 are 7 x 43
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 301, 372, 225, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(301, 372) = 111972
GCD(301, 372) = ( 301 x 372 ) / 111972
= 301 / 372
= 301
Step2:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 301, 372, 225, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 301, 372, 225, 289
The greatest common divisor of numbers 301, 372, 225, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 301, 372, 225, 289 is 1.
1. What is the GCD of 301, 372, 225, 289?
GCD of given numbers 301, 372, 225, 289 is 1
2. How to calculate the greatest common divisor of 301, 372, 225, 289?
We can find the highest common divisor of 301, 372, 225, 289 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 301, 372, 225, 289 i.e 1.
3. How can I use the GCD of 301, 372, 225, 289Calculator?
Out the numbers 301, 372, 225, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.