Online GCD Calculator is useful to find the GCD of 682, 344, 758, 916 quickly. Get the easiest ways to solve the greatest common divisor of 682, 344, 758, 916 i.e 2 in different methods as follows.
Given Input numbers are 682, 344, 758, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (682, 344, 758, 916) = 2.
Given numbers are 682, 344, 758, 916
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 758 are 2 x 379
Prime factors of 916 are 2 x 2 x 229
The highest common occurrence is 21
Therefore, GCD of 682, 344, 758, 916 is 2.
Given numbers are 682, 344, 758, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 344) = 117304
GCD(682, 344) = ( 682 x 344 ) / 117304
= 682 / 344
= 682
Step2:
LCM(2, 758) = 758
GCD(2, 758) = ( 2 x 758 ) / 758
= 2 / 758
= 2
Step3:
LCM(2, 916) = 916
GCD(2, 916) = ( 2 x 916 ) / 916
= 2 / 916
= 2
So, Greatest Common Divisor of 682, 344, 758, 916 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 344, 758, 916
The greatest common divisor of numbers 682, 344, 758, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 344, 758, 916 is 2.
1. What is the GCD of 682, 344, 758, 916?
GCD of given numbers 682, 344, 758, 916 is 2
2. How to calculate the greatest common divisor of 682, 344, 758, 916?
We can find the highest common divisor of 682, 344, 758, 916 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 682, 344, 758, 916 i.e 2.
3. How can I use the GCD of 682, 344, 758, 916Calculator?
Out the numbers 682, 344, 758, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.