Online GCD Calculator is useful to find the GCD of 390, 368, 727, 900 quickly. Get the easiest ways to solve the greatest common divisor of 390, 368, 727, 900 i.e 1 in different methods as follows.
Given Input numbers are 390, 368, 727, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 727 :
The positive integer divisors of 727 that completely divides 727 are.
1, 727
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (390, 368, 727, 900) = 1.
Given numbers are 390, 368, 727, 900
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 727 are 727
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 390, 368, 727, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 368) = 71760
GCD(390, 368) = ( 390 x 368 ) / 71760
= 390 / 368
= 390
Step2:
LCM(2, 727) = 1454
GCD(2, 727) = ( 2 x 727 ) / 1454
= 2 / 727
= 2
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 390, 368, 727, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 390, 368, 727, 900
The greatest common divisor of numbers 390, 368, 727, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 368, 727, 900 is 1.
1. What is the GCD of 390, 368, 727, 900?
GCD of given numbers 390, 368, 727, 900 is 1
2. How to calculate the greatest common divisor of 390, 368, 727, 900?
We can find the highest common divisor of 390, 368, 727, 900 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 390, 368, 727, 900 i.e 1.
3. How can I use the GCD of 390, 368, 727, 900Calculator?
Out the numbers 390, 368, 727, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.