Online GCD Calculator is useful to find the GCD of 432, 868, 668, 728 quickly. Get the easiest ways to solve the greatest common divisor of 432, 868, 668, 728 i.e 4 in different methods as follows.
Given Input numbers are 432, 868, 668, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (432, 868, 668, 728) = 4.
Given numbers are 432, 868, 668, 728
The list of prime factors of all numbers are
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 668 are 2 x 2 x 167
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The highest common occurrence is 22
Therefore, GCD of 432, 868, 668, 728 is 4.
Given numbers are 432, 868, 668, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(432, 868) = 93744
GCD(432, 868) = ( 432 x 868 ) / 93744
= 432 / 868
= 432
Step2:
LCM(4, 668) = 668
GCD(4, 668) = ( 4 x 668 ) / 668
= 4 / 668
= 4
Step3:
LCM(4, 728) = 728
GCD(4, 728) = ( 4 x 728 ) / 728
= 4 / 728
= 4
So, Greatest Common Divisor of 432, 868, 668, 728 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 432, 868, 668, 728
The greatest common divisor of numbers 432, 868, 668, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 868, 668, 728 is 4.
1. What is the GCD of 432, 868, 668, 728?
GCD of given numbers 432, 868, 668, 728 is 4
2. How to calculate the greatest common divisor of 432, 868, 668, 728?
We can find the highest common divisor of 432, 868, 668, 728 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 432, 868, 668, 728 i.e 4.
3. How can I use the GCD of 432, 868, 668, 728Calculator?
Out the numbers 432, 868, 668, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.