Online GCD Calculator is useful to find the GCD of 678, 646, 660, 889 quickly. Get the easiest ways to solve the greatest common divisor of 678, 646, 660, 889 i.e 1 in different methods as follows.
Given Input numbers are 678, 646, 660, 889
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 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
GCD of numbers is the greatest common divisor
So, the GCD (678, 646, 660, 889) = 1.
Given numbers are 678, 646, 660, 889
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 646 are 2 x 17 x 19
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 889 are 7 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 678, 646, 660, 889
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 646) = 218994
GCD(678, 646) = ( 678 x 646 ) / 218994
= 678 / 646
= 678
Step2:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
Step3:
LCM(2, 889) = 1778
GCD(2, 889) = ( 2 x 889 ) / 1778
= 2 / 889
= 2
So, Greatest Common Divisor of 678, 646, 660, 889 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 646, 660, 889
The greatest common divisor of numbers 678, 646, 660, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 646, 660, 889 is 1.
1. What is the GCD of 678, 646, 660, 889?
GCD of given numbers 678, 646, 660, 889 is 1
2. How to calculate the greatest common divisor of 678, 646, 660, 889?
We can find the highest common divisor of 678, 646, 660, 889 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, 646, 660, 889 i.e 1.
3. How can I use the GCD of 678, 646, 660, 889Calculator?
Out the numbers 678, 646, 660, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.