Online GCD Calculator is useful to find the GCD of 680, 518, 706, 678 quickly. Get the easiest ways to solve the greatest common divisor of 680, 518, 706, 678 i.e 2 in different methods as follows.
Given Input numbers are 680, 518, 706, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (680, 518, 706, 678) = 2.
Given numbers are 680, 518, 706, 678
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 518 are 2 x 7 x 37
Prime factors of 706 are 2 x 353
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21
Therefore, GCD of 680, 518, 706, 678 is 2.
Given numbers are 680, 518, 706, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 518) = 176120
GCD(680, 518) = ( 680 x 518 ) / 176120
= 680 / 518
= 680
Step2:
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
= 2 / 706
= 2
Step3:
LCM(2, 678) = 678
GCD(2, 678) = ( 2 x 678 ) / 678
= 2 / 678
= 2
So, Greatest Common Divisor of 680, 518, 706, 678 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 518, 706, 678
The greatest common divisor of numbers 680, 518, 706, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 518, 706, 678 is 2.
1. What is the GCD of 680, 518, 706, 678?
GCD of given numbers 680, 518, 706, 678 is 2
2. How to calculate the greatest common divisor of 680, 518, 706, 678?
We can find the highest common divisor of 680, 518, 706, 678 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 680, 518, 706, 678 i.e 2.
3. How can I use the GCD of 680, 518, 706, 678Calculator?
Out the numbers 680, 518, 706, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.