Online GCD Calculator is useful to find the GCD of 158, 686, 298, 856 quickly. Get the easiest ways to solve the greatest common divisor of 158, 686, 298, 856 i.e 2 in different methods as follows.
Given Input numbers are 158, 686, 298, 856
In the factoring method, we have to find the divisors of all numbers
Divisors of 158 :
The positive integer divisors of 158 that completely divides 158 are.
1, 2, 79, 158
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
GCD of numbers is the greatest common divisor
So, the GCD (158, 686, 298, 856) = 2.
Given numbers are 158, 686, 298, 856
The list of prime factors of all numbers are
Prime factors of 158 are 2 x 79
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 298 are 2 x 149
Prime factors of 856 are 2 x 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 158, 686, 298, 856 is 2.
Given numbers are 158, 686, 298, 856
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(158, 686) = 54194
GCD(158, 686) = ( 158 x 686 ) / 54194
= 158 / 686
= 158
Step2:
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
= 2 / 298
= 2
Step3:
LCM(2, 856) = 856
GCD(2, 856) = ( 2 x 856 ) / 856
= 2 / 856
= 2
So, Greatest Common Divisor of 158, 686, 298, 856 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 158, 686, 298, 856
The greatest common divisor of numbers 158, 686, 298, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 158, 686, 298, 856 is 2.
1. What is the GCD of 158, 686, 298, 856?
GCD of given numbers 158, 686, 298, 856 is 2
2. How to calculate the greatest common divisor of 158, 686, 298, 856?
We can find the highest common divisor of 158, 686, 298, 856 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 158, 686, 298, 856 i.e 2.
3. How can I use the GCD of 158, 686, 298, 856Calculator?
Out the numbers 158, 686, 298, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.