Online GCD Calculator is useful to find the GCD of 864, 235, 900, 677 quickly. Get the easiest ways to solve the greatest common divisor of 864, 235, 900, 677 i.e 1 in different methods as follows.
Given Input numbers are 864, 235, 900, 677
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 235 :
The positive integer divisors of 235 that completely divides 235 are.
1, 5, 47, 235
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 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
GCD of numbers is the greatest common divisor
So, the GCD (864, 235, 900, 677) = 1.
Given numbers are 864, 235, 900, 677
The list of prime factors of all numbers are
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 235 are 5 x 47
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 677 are 677
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 864, 235, 900, 677
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 235) = 203040
GCD(864, 235) = ( 864 x 235 ) / 203040
= 864 / 235
= 864
Step2:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
Step3:
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
= 1 / 677
= 1
So, Greatest Common Divisor of 864, 235, 900, 677 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 235, 900, 677
The greatest common divisor of numbers 864, 235, 900, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 235, 900, 677 is 1.
1. What is the GCD of 864, 235, 900, 677?
GCD of given numbers 864, 235, 900, 677 is 1
2. How to calculate the greatest common divisor of 864, 235, 900, 677?
We can find the highest common divisor of 864, 235, 900, 677 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 864, 235, 900, 677 i.e 1.
3. How can I use the GCD of 864, 235, 900, 677Calculator?
Out the numbers 864, 235, 900, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.