Online GCD Calculator is useful to find the GCD of 686, 892, 104, 636 quickly. Get the easiest ways to solve the greatest common divisor of 686, 892, 104, 636 i.e 2 in different methods as follows.
Given Input numbers are 686, 892, 104, 636
In the factoring method, we have to find the divisors of all numbers
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
GCD of numbers is the greatest common divisor
So, the GCD (686, 892, 104, 636) = 2.
Given numbers are 686, 892, 104, 636
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 892 are 2 x 2 x 223
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 636 are 2 x 2 x 3 x 53
The highest common occurrence is 21
Therefore, GCD of 686, 892, 104, 636 is 2.
Given numbers are 686, 892, 104, 636
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 892) = 305956
GCD(686, 892) = ( 686 x 892 ) / 305956
= 686 / 892
= 686
Step2:
LCM(2, 104) = 104
GCD(2, 104) = ( 2 x 104 ) / 104
= 2 / 104
= 2
Step3:
LCM(2, 636) = 636
GCD(2, 636) = ( 2 x 636 ) / 636
= 2 / 636
= 2
So, Greatest Common Divisor of 686, 892, 104, 636 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 892, 104, 636
The greatest common divisor of numbers 686, 892, 104, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 892, 104, 636 is 2.
1. What is the GCD of 686, 892, 104, 636?
GCD of given numbers 686, 892, 104, 636 is 2
2. How to calculate the greatest common divisor of 686, 892, 104, 636?
We can find the highest common divisor of 686, 892, 104, 636 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 686, 892, 104, 636 i.e 2.
3. How can I use the GCD of 686, 892, 104, 636Calculator?
Out the numbers 686, 892, 104, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.