Online GCD Calculator is useful to find the GCD of 339, 687, 678, 114 quickly. Get the easiest ways to solve the greatest common divisor of 339, 687, 678, 114 i.e 3 in different methods as follows.
Given Input numbers are 339, 687, 678, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (339, 687, 678, 114) = 3.
Given numbers are 339, 687, 678, 114
The list of prime factors of all numbers are
Prime factors of 339 are 3 x 113
Prime factors of 687 are 3 x 229
Prime factors of 678 are 2 x 3 x 113
Prime factors of 114 are 2 x 3 x 19
The highest common occurrence is 31
Therefore, GCD of 339, 687, 678, 114 is 3.
Given numbers are 339, 687, 678, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(339, 687) = 77631
GCD(339, 687) = ( 339 x 687 ) / 77631
= 339 / 687
= 339
Step2:
LCM(3, 678) = 678
GCD(3, 678) = ( 3 x 678 ) / 678
= 3 / 678
= 3
Step3:
LCM(3, 114) = 114
GCD(3, 114) = ( 3 x 114 ) / 114
= 3 / 114
= 3
So, Greatest Common Divisor of 339, 687, 678, 114 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 339, 687, 678, 114
The greatest common divisor of numbers 339, 687, 678, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 687, 678, 114 is 3.
1. What is the GCD of 339, 687, 678, 114?
GCD of given numbers 339, 687, 678, 114 is 3
2. How to calculate the greatest common divisor of 339, 687, 678, 114?
We can find the highest common divisor of 339, 687, 678, 114 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 339, 687, 678, 114 i.e 3.
3. How can I use the GCD of 339, 687, 678, 114Calculator?
Out the numbers 339, 687, 678, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.