Online GCD Calculator is useful to find the GCD of 842, 686, 104, 164 quickly. Get the easiest ways to solve the greatest common divisor of 842, 686, 104, 164 i.e 2 in different methods as follows.
Given Input numbers are 842, 686, 104, 164
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
GCD of numbers is the greatest common divisor
So, the GCD (842, 686, 104, 164) = 2.
Given numbers are 842, 686, 104, 164
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 164 are 2 x 2 x 41
The highest common occurrence is 21
Therefore, GCD of 842, 686, 104, 164 is 2.
Given numbers are 842, 686, 104, 164
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 686) = 288806
GCD(842, 686) = ( 842 x 686 ) / 288806
= 842 / 686
= 842
Step2:
LCM(2, 104) = 104
GCD(2, 104) = ( 2 x 104 ) / 104
= 2 / 104
= 2
Step3:
LCM(2, 164) = 164
GCD(2, 164) = ( 2 x 164 ) / 164
= 2 / 164
= 2
So, Greatest Common Divisor of 842, 686, 104, 164 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 686, 104, 164
The greatest common divisor of numbers 842, 686, 104, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 686, 104, 164 is 2.
1. What is the GCD of 842, 686, 104, 164?
GCD of given numbers 842, 686, 104, 164 is 2
2. How to calculate the greatest common divisor of 842, 686, 104, 164?
We can find the highest common divisor of 842, 686, 104, 164 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 842, 686, 104, 164 i.e 2.
3. How can I use the GCD of 842, 686, 104, 164Calculator?
Out the numbers 842, 686, 104, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.