Online GCD Calculator is useful to find the GCD of 300, 361, 644, 289 quickly. Get the easiest ways to solve the greatest common divisor of 300, 361, 644, 289 i.e 1 in different methods as follows.
Given Input numbers are 300, 361, 644, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
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 (300, 361, 644, 289) = 1.
Given numbers are 300, 361, 644, 289
The list of prime factors of all numbers are
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 361 are 19 x 19
Prime factors of 644 are 2 x 2 x 7 x 23
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 300, 361, 644, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 361) = 108300
GCD(300, 361) = ( 300 x 361 ) / 108300
= 300 / 361
= 300
Step2:
LCM(1, 644) = 644
GCD(1, 644) = ( 1 x 644 ) / 644
= 1 / 644
= 1
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 300, 361, 644, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 361, 644, 289
The greatest common divisor of numbers 300, 361, 644, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 361, 644, 289 is 1.
1. What is the GCD of 300, 361, 644, 289?
GCD of given numbers 300, 361, 644, 289 is 1
2. How to calculate the greatest common divisor of 300, 361, 644, 289?
We can find the highest common divisor of 300, 361, 644, 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 300, 361, 644, 289 i.e 1.
3. How can I use the GCD of 300, 361, 644, 289Calculator?
Out the numbers 300, 361, 644, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.