Online GCD Calculator is useful to find the GCD of 340, 656, 616, 838 quickly. Get the easiest ways to solve the greatest common divisor of 340, 656, 616, 838 i.e 2 in different methods as follows.
Given Input numbers are 340, 656, 616, 838
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (340, 656, 616, 838) = 2.
Given numbers are 340, 656, 616, 838
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 838 are 2 x 419
The highest common occurrence is 21
Therefore, GCD of 340, 656, 616, 838 is 2.
Given numbers are 340, 656, 616, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 656) = 55760
GCD(340, 656) = ( 340 x 656 ) / 55760
= 340 / 656
= 340
Step2:
LCM(4, 616) = 616
GCD(4, 616) = ( 4 x 616 ) / 616
= 4 / 616
= 4
Step3:
LCM(4, 838) = 1676
GCD(4, 838) = ( 4 x 838 ) / 1676
= 4 / 838
= 4
So, Greatest Common Divisor of 340, 656, 616, 838 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 656, 616, 838
The greatest common divisor of numbers 340, 656, 616, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 656, 616, 838 is 2.
1. What is the GCD of 340, 656, 616, 838?
GCD of given numbers 340, 656, 616, 838 is 2
2. How to calculate the greatest common divisor of 340, 656, 616, 838?
We can find the highest common divisor of 340, 656, 616, 838 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 340, 656, 616, 838 i.e 2.
3. How can I use the GCD of 340, 656, 616, 838Calculator?
Out the numbers 340, 656, 616, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.