Online GCD Calculator is useful to find the GCD of 684, 762, 344, 314 quickly. Get the easiest ways to solve the greatest common divisor of 684, 762, 344, 314 i.e 2 in different methods as follows.
Given Input numbers are 684, 762, 344, 314
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (684, 762, 344, 314) = 2.
Given numbers are 684, 762, 344, 314
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 762 are 2 x 3 x 127
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 314 are 2 x 157
The highest common occurrence is 21
Therefore, GCD of 684, 762, 344, 314 is 2.
Given numbers are 684, 762, 344, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 762) = 86868
GCD(684, 762) = ( 684 x 762 ) / 86868
= 684 / 762
= 684
Step2:
LCM(6, 344) = 1032
GCD(6, 344) = ( 6 x 344 ) / 1032
= 6 / 344
= 6
Step3:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
So, Greatest Common Divisor of 684, 762, 344, 314 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 762, 344, 314
The greatest common divisor of numbers 684, 762, 344, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 762, 344, 314 is 2.
1. What is the GCD of 684, 762, 344, 314?
GCD of given numbers 684, 762, 344, 314 is 2
2. How to calculate the greatest common divisor of 684, 762, 344, 314?
We can find the highest common divisor of 684, 762, 344, 314 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 684, 762, 344, 314 i.e 2.
3. How can I use the GCD of 684, 762, 344, 314Calculator?
Out the numbers 684, 762, 344, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.