Online GCD Calculator is useful to find the GCD of 678, 654, 960, 246 quickly. Get the easiest ways to solve the greatest common divisor of 678, 654, 960, 246 i.e 6 in different methods as follows.
Given Input numbers are 678, 654, 960, 246
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 246 :
The positive integer divisors of 246 that completely divides 246 are.
1, 2, 3, 6, 41, 82, 123, 246
GCD of numbers is the greatest common divisor
So, the GCD (678, 654, 960, 246) = 6.
Given numbers are 678, 654, 960, 246
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 654 are 2 x 3 x 109
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 246 are 2 x 3 x 41
The highest common occurrence is 21 x 31
Therefore, GCD of 678, 654, 960, 246 is 6.
Given numbers are 678, 654, 960, 246
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 654) = 73902
GCD(678, 654) = ( 678 x 654 ) / 73902
= 678 / 654
= 678
Step2:
LCM(6, 960) = 960
GCD(6, 960) = ( 6 x 960 ) / 960
= 6 / 960
= 6
Step3:
LCM(6, 246) = 246
GCD(6, 246) = ( 6 x 246 ) / 246
= 6 / 246
= 6
So, Greatest Common Divisor of 678, 654, 960, 246 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 654, 960, 246
The greatest common divisor of numbers 678, 654, 960, 246 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 654, 960, 246 is 6.
1. What is the GCD of 678, 654, 960, 246?
GCD of given numbers 678, 654, 960, 246 is 6
2. How to calculate the greatest common divisor of 678, 654, 960, 246?
We can find the highest common divisor of 678, 654, 960, 246 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 678, 654, 960, 246 i.e 6.
3. How can I use the GCD of 678, 654, 960, 246Calculator?
Out the numbers 678, 654, 960, 246 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.