Online GCD Calculator is useful to find the GCD of 838, 286, 894, 686 quickly. Get the easiest ways to solve the greatest common divisor of 838, 286, 894, 686 i.e 2 in different methods as follows.
Given Input numbers are 838, 286, 894, 686
In the factoring method, we have to find the divisors of all numbers
Divisors of 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (838, 286, 894, 686) = 2.
Given numbers are 838, 286, 894, 686
The list of prime factors of all numbers are
Prime factors of 838 are 2 x 419
Prime factors of 286 are 2 x 11 x 13
Prime factors of 894 are 2 x 3 x 149
Prime factors of 686 are 2 x 7 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 838, 286, 894, 686 is 2.
Given numbers are 838, 286, 894, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(838, 286) = 119834
GCD(838, 286) = ( 838 x 286 ) / 119834
= 838 / 286
= 838
Step2:
LCM(2, 894) = 894
GCD(2, 894) = ( 2 x 894 ) / 894
= 2 / 894
= 2
Step3:
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
= 2 / 686
= 2
So, Greatest Common Divisor of 838, 286, 894, 686 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 838, 286, 894, 686
The greatest common divisor of numbers 838, 286, 894, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 286, 894, 686 is 2.
1. What is the GCD of 838, 286, 894, 686?
GCD of given numbers 838, 286, 894, 686 is 2
2. How to calculate the greatest common divisor of 838, 286, 894, 686?
We can find the highest common divisor of 838, 286, 894, 686 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 838, 286, 894, 686 i.e 2.
3. How can I use the GCD of 838, 286, 894, 686Calculator?
Out the numbers 838, 286, 894, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.