Online GCD Calculator is useful to find the GCD of 663, 687, 360, 651 quickly. Get the easiest ways to solve the greatest common divisor of 663, 687, 360, 651 i.e 3 in different methods as follows.
Given Input numbers are 663, 687, 360, 651
In the factoring method, we have to find the divisors of all numbers
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
GCD of numbers is the greatest common divisor
So, the GCD (663, 687, 360, 651) = 3.
Given numbers are 663, 687, 360, 651
The list of prime factors of all numbers are
Prime factors of 663 are 3 x 13 x 17
Prime factors of 687 are 3 x 229
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 651 are 3 x 7 x 31
The highest common occurrence is 31
Therefore, GCD of 663, 687, 360, 651 is 3.
Given numbers are 663, 687, 360, 651
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(663, 687) = 151827
GCD(663, 687) = ( 663 x 687 ) / 151827
= 663 / 687
= 663
Step2:
LCM(3, 360) = 360
GCD(3, 360) = ( 3 x 360 ) / 360
= 3 / 360
= 3
Step3:
LCM(3, 651) = 651
GCD(3, 651) = ( 3 x 651 ) / 651
= 3 / 651
= 3
So, Greatest Common Divisor of 663, 687, 360, 651 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 663, 687, 360, 651
The greatest common divisor of numbers 663, 687, 360, 651 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 687, 360, 651 is 3.
1. What is the GCD of 663, 687, 360, 651?
GCD of given numbers 663, 687, 360, 651 is 3
2. How to calculate the greatest common divisor of 663, 687, 360, 651?
We can find the highest common divisor of 663, 687, 360, 651 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 663, 687, 360, 651 i.e 3.
3. How can I use the GCD of 663, 687, 360, 651Calculator?
Out the numbers 663, 687, 360, 651 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.