Online GCD Calculator is useful to find the GCD of 687, 393, 720, 159 quickly. Get the easiest ways to solve the greatest common divisor of 687, 393, 720, 159 i.e 3 in different methods as follows.
Given Input numbers are 687, 393, 720, 159
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 393 :
The positive integer divisors of 393 that completely divides 393 are.
1, 3, 131, 393
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
GCD of numbers is the greatest common divisor
So, the GCD (687, 393, 720, 159) = 3.
Given numbers are 687, 393, 720, 159
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 393 are 3 x 131
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 159 are 3 x 53
The highest common occurrence is 31
Therefore, GCD of 687, 393, 720, 159 is 3.
Given numbers are 687, 393, 720, 159
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 393) = 89997
GCD(687, 393) = ( 687 x 393 ) / 89997
= 687 / 393
= 687
Step2:
LCM(3, 720) = 720
GCD(3, 720) = ( 3 x 720 ) / 720
= 3 / 720
= 3
Step3:
LCM(3, 159) = 159
GCD(3, 159) = ( 3 x 159 ) / 159
= 3 / 159
= 3
So, Greatest Common Divisor of 687, 393, 720, 159 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 687, 393, 720, 159
The greatest common divisor of numbers 687, 393, 720, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 393, 720, 159 is 3.
1. What is the GCD of 687, 393, 720, 159?
GCD of given numbers 687, 393, 720, 159 is 3
2. How to calculate the greatest common divisor of 687, 393, 720, 159?
We can find the highest common divisor of 687, 393, 720, 159 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 687, 393, 720, 159 i.e 3.
3. How can I use the GCD of 687, 393, 720, 159Calculator?
Out the numbers 687, 393, 720, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.