Online GCD Calculator is useful to find the GCD of 864, 159, 753, 669 quickly. Get the easiest ways to solve the greatest common divisor of 864, 159, 753, 669 i.e 3 in different methods as follows.
Given Input numbers are 864, 159, 753, 669
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 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
GCD of numbers is the greatest common divisor
So, the GCD (864, 159, 753, 669) = 3.
Given numbers are 864, 159, 753, 669
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 159 are 3 x 53
Prime factors of 753 are 3 x 251
Prime factors of 669 are 3 x 223
The highest common occurrence is 31
Therefore, GCD of 864, 159, 753, 669 is 3.
Given numbers are 864, 159, 753, 669
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 159) = 45792
GCD(864, 159) = ( 864 x 159 ) / 45792
= 864 / 159
= 864
Step2:
LCM(3, 753) = 753
GCD(3, 753) = ( 3 x 753 ) / 753
= 3 / 753
= 3
Step3:
LCM(3, 669) = 669
GCD(3, 669) = ( 3 x 669 ) / 669
= 3 / 669
= 3
So, Greatest Common Divisor of 864, 159, 753, 669 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 159, 753, 669
The greatest common divisor of numbers 864, 159, 753, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 159, 753, 669 is 3.
1. What is the GCD of 864, 159, 753, 669?
GCD of given numbers 864, 159, 753, 669 is 3
2. How to calculate the greatest common divisor of 864, 159, 753, 669?
We can find the highest common divisor of 864, 159, 753, 669 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, 159, 753, 669 i.e 3.
3. How can I use the GCD of 864, 159, 753, 669Calculator?
Out the numbers 864, 159, 753, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.