Online GCD Calculator is useful to find the GCD of 300, 369, 370, 964 quickly. Get the easiest ways to solve the greatest common divisor of 300, 369, 370, 964 i.e 1 in different methods as follows.
Given Input numbers are 300, 369, 370, 964
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 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
GCD of numbers is the greatest common divisor
So, the GCD (300, 369, 370, 964) = 1.
Given numbers are 300, 369, 370, 964
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 369 are 3 x 3 x 41
Prime factors of 370 are 2 x 5 x 37
Prime factors of 964 are 2 x 2 x 241
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 300, 369, 370, 964
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(300, 369) = 36900
GCD(300, 369) = ( 300 x 369 ) / 36900
= 300 / 369
= 300
Step2:
LCM(3, 370) = 1110
GCD(3, 370) = ( 3 x 370 ) / 1110
= 3 / 370
= 3
Step3:
LCM(1, 964) = 964
GCD(1, 964) = ( 1 x 964 ) / 964
= 1 / 964
= 1
So, Greatest Common Divisor of 300, 369, 370, 964 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 300, 369, 370, 964
The greatest common divisor of numbers 300, 369, 370, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 369, 370, 964 is 1.
1. What is the GCD of 300, 369, 370, 964?
GCD of given numbers 300, 369, 370, 964 is 1
2. How to calculate the greatest common divisor of 300, 369, 370, 964?
We can find the highest common divisor of 300, 369, 370, 964 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, 369, 370, 964 i.e 1.
3. How can I use the GCD of 300, 369, 370, 964Calculator?
Out the numbers 300, 369, 370, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.