Online GCD Calculator is useful to find the GCD of 900, 397, 232, 864 quickly. Get the easiest ways to solve the greatest common divisor of 900, 397, 232, 864 i.e 1 in different methods as follows.
Given Input numbers are 900, 397, 232, 864
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
GCD of numbers is the greatest common divisor
So, the GCD (900, 397, 232, 864) = 1.
Given numbers are 900, 397, 232, 864
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 397 are 397
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 900, 397, 232, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 397) = 357300
GCD(900, 397) = ( 900 x 397 ) / 357300
= 900 / 397
= 900
Step2:
LCM(1, 232) = 232
GCD(1, 232) = ( 1 x 232 ) / 232
= 1 / 232
= 1
Step3:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
So, Greatest Common Divisor of 900, 397, 232, 864 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 397, 232, 864
The greatest common divisor of numbers 900, 397, 232, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 397, 232, 864 is 1.
1. What is the GCD of 900, 397, 232, 864?
GCD of given numbers 900, 397, 232, 864 is 1
2. How to calculate the greatest common divisor of 900, 397, 232, 864?
We can find the highest common divisor of 900, 397, 232, 864 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 900, 397, 232, 864 i.e 1.
3. How can I use the GCD of 900, 397, 232, 864Calculator?
Out the numbers 900, 397, 232, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.