Online GCD Calculator is useful to find the GCD of 300, 325, 378, 738 quickly. Get the easiest ways to solve the greatest common divisor of 300, 325, 378, 738 i.e 1 in different methods as follows.
Given Input numbers are 300, 325, 378, 738
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 325 :
The positive integer divisors of 325 that completely divides 325 are.
1, 5, 13, 25, 65, 325
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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
GCD of numbers is the greatest common divisor
So, the GCD (300, 325, 378, 738) = 1.
Given numbers are 300, 325, 378, 738
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 325 are 5 x 5 x 13
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 738 are 2 x 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 300, 325, 378, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 325) = 3900
GCD(300, 325) = ( 300 x 325 ) / 3900
= 300 / 325
= 300
Step2:
LCM(25, 378) = 9450
GCD(25, 378) = ( 25 x 378 ) / 9450
= 25 / 378
= 25
Step3:
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
= 1 / 738
= 1
So, Greatest Common Divisor of 300, 325, 378, 738 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 325, 378, 738
The greatest common divisor of numbers 300, 325, 378, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 325, 378, 738 is 1.
1. What is the GCD of 300, 325, 378, 738?
GCD of given numbers 300, 325, 378, 738 is 1
2. How to calculate the greatest common divisor of 300, 325, 378, 738?
We can find the highest common divisor of 300, 325, 378, 738 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, 325, 378, 738 i.e 1.
3. How can I use the GCD of 300, 325, 378, 738Calculator?
Out the numbers 300, 325, 378, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.