Online GCD Calculator is useful to find the GCD of 680, 314, 232, 682 quickly. Get the easiest ways to solve the greatest common divisor of 680, 314, 232, 682 i.e 2 in different methods as follows.
Given Input numbers are 680, 314, 232, 682
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 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (680, 314, 232, 682) = 2.
Given numbers are 680, 314, 232, 682
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 314 are 2 x 157
Prime factors of 232 are 2 x 2 x 2 x 29
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 21
Therefore, GCD of 680, 314, 232, 682 is 2.
Given numbers are 680, 314, 232, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 314) = 106760
GCD(680, 314) = ( 680 x 314 ) / 106760
= 680 / 314
= 680
Step2:
LCM(2, 232) = 232
GCD(2, 232) = ( 2 x 232 ) / 232
= 2 / 232
= 2
Step3:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
So, Greatest Common Divisor of 680, 314, 232, 682 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 314, 232, 682
The greatest common divisor of numbers 680, 314, 232, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 314, 232, 682 is 2.
1. What is the GCD of 680, 314, 232, 682?
GCD of given numbers 680, 314, 232, 682 is 2
2. How to calculate the greatest common divisor of 680, 314, 232, 682?
We can find the highest common divisor of 680, 314, 232, 682 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, 314, 232, 682 i.e 2.
3. How can I use the GCD of 680, 314, 232, 682Calculator?
Out the numbers 680, 314, 232, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.