Online GCD Calculator is useful to find the GCD of 116, 686, 26, 408 quickly. Get the easiest ways to solve the greatest common divisor of 116, 686, 26, 408 i.e 2 in different methods as follows.
Given Input numbers are 116, 686, 26, 408
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 26 :
The positive integer divisors of 26 that completely divides 26 are.
1, 2, 13, 26
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD of numbers is the greatest common divisor
So, the GCD (116, 686, 26, 408) = 2.
Given numbers are 116, 686, 26, 408
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 26 are 2 x 13
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 116, 686, 26, 408 is 2.
Given numbers are 116, 686, 26, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 686) = 39788
GCD(116, 686) = ( 116 x 686 ) / 39788
= 116 / 686
= 116
Step2:
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
= 2 / 26
= 2
Step3:
LCM(2, 408) = 408
GCD(2, 408) = ( 2 x 408 ) / 408
= 2 / 408
= 2
So, Greatest Common Divisor of 116, 686, 26, 408 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 686, 26, 408
The greatest common divisor of numbers 116, 686, 26, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 686, 26, 408 is 2.
1. What is the GCD of 116, 686, 26, 408?
GCD of given numbers 116, 686, 26, 408 is 2
2. How to calculate the greatest common divisor of 116, 686, 26, 408?
We can find the highest common divisor of 116, 686, 26, 408 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 116, 686, 26, 408 i.e 2.
3. How can I use the GCD of 116, 686, 26, 408Calculator?
Out the numbers 116, 686, 26, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.