Online GCD Calculator is useful to find the GCD of 936, 138, 458, 856 quickly. Get the easiest ways to solve the greatest common divisor of 936, 138, 458, 856 i.e 2 in different methods as follows.
Given Input numbers are 936, 138, 458, 856
In the factoring method, we have to find the divisors of all numbers
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 458 :
The positive integer divisors of 458 that completely divides 458 are.
1, 2, 229, 458
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 (936, 138, 458, 856) = 2.
Given numbers are 936, 138, 458, 856
The list of prime factors of all numbers are
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 138 are 2 x 3 x 23
Prime factors of 458 are 2 x 229
Prime factors of 856 are 2 x 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 936, 138, 458, 856 is 2.
Given numbers are 936, 138, 458, 856
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(936, 138) = 21528
GCD(936, 138) = ( 936 x 138 ) / 21528
= 936 / 138
= 936
Step2:
LCM(6, 458) = 1374
GCD(6, 458) = ( 6 x 458 ) / 1374
= 6 / 458
= 6
Step3:
LCM(2, 856) = 856
GCD(2, 856) = ( 2 x 856 ) / 856
= 2 / 856
= 2
So, Greatest Common Divisor of 936, 138, 458, 856 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 936, 138, 458, 856
The greatest common divisor of numbers 936, 138, 458, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 138, 458, 856 is 2.
1. What is the GCD of 936, 138, 458, 856?
GCD of given numbers 936, 138, 458, 856 is 2
2. How to calculate the greatest common divisor of 936, 138, 458, 856?
We can find the highest common divisor of 936, 138, 458, 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 936, 138, 458, 856 i.e 2.
3. How can I use the GCD of 936, 138, 458, 856Calculator?
Out the numbers 936, 138, 458, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.