Online GCD Calculator is useful to find the GCD of 712, 314, 189, 678 quickly. Get the easiest ways to solve the greatest common divisor of 712, 314, 189, 678 i.e 1 in different methods as follows.
Given Input numbers are 712, 314, 189, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
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 (712, 314, 189, 678) = 1.
Given numbers are 712, 314, 189, 678
The list of prime factors of all numbers are
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 314 are 2 x 157
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 678 are 2 x 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 712, 314, 189, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(712, 314) = 111784
GCD(712, 314) = ( 712 x 314 ) / 111784
= 712 / 314
= 712
Step2:
LCM(2, 189) = 378
GCD(2, 189) = ( 2 x 189 ) / 378
= 2 / 189
= 2
Step3:
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
= 1 / 678
= 1
So, Greatest Common Divisor of 712, 314, 189, 678 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 712, 314, 189, 678
The greatest common divisor of numbers 712, 314, 189, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 314, 189, 678 is 1.
1. What is the GCD of 712, 314, 189, 678?
GCD of given numbers 712, 314, 189, 678 is 1
2. How to calculate the greatest common divisor of 712, 314, 189, 678?
We can find the highest common divisor of 712, 314, 189, 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 712, 314, 189, 678 i.e 1.
3. How can I use the GCD of 712, 314, 189, 678Calculator?
Out the numbers 712, 314, 189, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.