Online GCD Calculator is useful to find the GCD of 686, 651, 338, 312 quickly. Get the easiest ways to solve the greatest common divisor of 686, 651, 338, 312 i.e 1 in different methods as follows.
Given Input numbers are 686, 651, 338, 312
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 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (686, 651, 338, 312) = 1.
Given numbers are 686, 651, 338, 312
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 651 are 3 x 7 x 31
Prime factors of 338 are 2 x 13 x 13
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 686, 651, 338, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 651) = 63798
GCD(686, 651) = ( 686 x 651 ) / 63798
= 686 / 651
= 686
Step2:
LCM(7, 338) = 2366
GCD(7, 338) = ( 7 x 338 ) / 2366
= 7 / 338
= 7
Step3:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
So, Greatest Common Divisor of 686, 651, 338, 312 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 651, 338, 312
The greatest common divisor of numbers 686, 651, 338, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 651, 338, 312 is 1.
1. What is the GCD of 686, 651, 338, 312?
GCD of given numbers 686, 651, 338, 312 is 1
2. How to calculate the greatest common divisor of 686, 651, 338, 312?
We can find the highest common divisor of 686, 651, 338, 312 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, 651, 338, 312 i.e 1.
3. How can I use the GCD of 686, 651, 338, 312Calculator?
Out the numbers 686, 651, 338, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.