Online GCD Calculator is useful to find the GCD of 423, 705, 864 quickly. Get the easiest ways to solve the greatest common divisor of 423, 705, 864 i.e 3 in different methods as follows.
Given Input numbers are 423, 705, 864
In the factoring method, we have to find the divisors of all numbers
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
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 (423, 705, 864) = 3.
Given numbers are 423, 705, 864
The list of prime factors of all numbers are
Prime factors of 423 are 3 x 3 x 47
Prime factors of 705 are 3 x 5 x 47
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 423, 705, 864 is 3.
Given numbers are 423, 705, 864
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(423, 705) = 2115
GCD(423, 705) = ( 423 x 705 ) / 2115
= 423 / 705
= 423
Step2:
LCM(141, 864) = 40608
GCD(141, 864) = ( 141 x 864 ) / 40608
= 141 / 864
= 141
So, Greatest Common Divisor of 423, 705, 864 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 423, 705, 864
The greatest common divisor of numbers 423, 705, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 423, 705, 864 is 3.
1. What is the GCD of 423, 705, 864?
GCD of given numbers 423, 705, 864 is 3
2. How to calculate the greatest common divisor of 423, 705, 864?
We can find the highest common divisor of 423, 705, 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 423, 705, 864 i.e 3.
3. How can I use the GCD of 423, 705, 864Calculator?
Out the numbers 423, 705, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.