Online GCD Calculator is useful to find the GCD of 738, 909, 300, 389 quickly. Get the easiest ways to solve the greatest common divisor of 738, 909, 300, 389 i.e 1 in different methods as follows.
Given Input numbers are 738, 909, 300, 389
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
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 389 :
The positive integer divisors of 389 that completely divides 389 are.
1, 389
GCD of numbers is the greatest common divisor
So, the GCD (738, 909, 300, 389) = 1.
Given numbers are 738, 909, 300, 389
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 909 are 3 x 3 x 101
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 389 are 389
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 738, 909, 300, 389
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 909) = 74538
GCD(738, 909) = ( 738 x 909 ) / 74538
= 738 / 909
= 738
Step2:
LCM(9, 300) = 900
GCD(9, 300) = ( 9 x 300 ) / 900
= 9 / 300
= 9
Step3:
LCM(3, 389) = 1167
GCD(3, 389) = ( 3 x 389 ) / 1167
= 3 / 389
= 3
So, Greatest Common Divisor of 738, 909, 300, 389 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 909, 300, 389
The greatest common divisor of numbers 738, 909, 300, 389 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 909, 300, 389 is 1.
1. What is the GCD of 738, 909, 300, 389?
GCD of given numbers 738, 909, 300, 389 is 1
2. How to calculate the greatest common divisor of 738, 909, 300, 389?
We can find the highest common divisor of 738, 909, 300, 389 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 738, 909, 300, 389 i.e 1.
3. How can I use the GCD of 738, 909, 300, 389Calculator?
Out the numbers 738, 909, 300, 389 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.