Online GCD Calculator is useful to find the GCD of 686, 114, 456, 668 quickly. Get the easiest ways to solve the greatest common divisor of 686, 114, 456, 668 i.e 2 in different methods as follows.
Given Input numbers are 686, 114, 456, 668
In the factoring method, we have to find the divisors of all numbers
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
GCD of numbers is the greatest common divisor
So, the GCD (686, 114, 456, 668) = 2.
Given numbers are 686, 114, 456, 668
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 114 are 2 x 3 x 19
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 668 are 2 x 2 x 167
The highest common occurrence is 21
Therefore, GCD of 686, 114, 456, 668 is 2.
Given numbers are 686, 114, 456, 668
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 114) = 39102
GCD(686, 114) = ( 686 x 114 ) / 39102
= 686 / 114
= 686
Step2:
LCM(2, 456) = 456
GCD(2, 456) = ( 2 x 456 ) / 456
= 2 / 456
= 2
Step3:
LCM(2, 668) = 668
GCD(2, 668) = ( 2 x 668 ) / 668
= 2 / 668
= 2
So, Greatest Common Divisor of 686, 114, 456, 668 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 114, 456, 668
The greatest common divisor of numbers 686, 114, 456, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 114, 456, 668 is 2.
1. What is the GCD of 686, 114, 456, 668?
GCD of given numbers 686, 114, 456, 668 is 2
2. How to calculate the greatest common divisor of 686, 114, 456, 668?
We can find the highest common divisor of 686, 114, 456, 668 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 686, 114, 456, 668 i.e 2.
3. How can I use the GCD of 686, 114, 456, 668Calculator?
Out the numbers 686, 114, 456, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.