Online GCD Calculator is useful to find the GCD of 856, 676, 814, 808 quickly. Get the easiest ways to solve the greatest common divisor of 856, 676, 814, 808 i.e 2 in different methods as follows.
Given Input numbers are 856, 676, 814, 808
In the factoring method, we have to find the divisors of all numbers
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
GCD of numbers is the greatest common divisor
So, the GCD (856, 676, 814, 808) = 2.
Given numbers are 856, 676, 814, 808
The list of prime factors of all numbers are
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 814 are 2 x 11 x 37
Prime factors of 808 are 2 x 2 x 2 x 101
The highest common occurrence is 21
Therefore, GCD of 856, 676, 814, 808 is 2.
Given numbers are 856, 676, 814, 808
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(856, 676) = 144664
GCD(856, 676) = ( 856 x 676 ) / 144664
= 856 / 676
= 856
Step2:
LCM(4, 814) = 1628
GCD(4, 814) = ( 4 x 814 ) / 1628
= 4 / 814
= 4
Step3:
LCM(2, 808) = 808
GCD(2, 808) = ( 2 x 808 ) / 808
= 2 / 808
= 2
So, Greatest Common Divisor of 856, 676, 814, 808 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 856, 676, 814, 808
The greatest common divisor of numbers 856, 676, 814, 808 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 676, 814, 808 is 2.
1. What is the GCD of 856, 676, 814, 808?
GCD of given numbers 856, 676, 814, 808 is 2
2. How to calculate the greatest common divisor of 856, 676, 814, 808?
We can find the highest common divisor of 856, 676, 814, 808 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 856, 676, 814, 808 i.e 2.
3. How can I use the GCD of 856, 676, 814, 808Calculator?
Out the numbers 856, 676, 814, 808 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.