Online GCD Calculator is useful to find the GCD of 738, 686, 496, 856 quickly. Get the easiest ways to solve the greatest common divisor of 738, 686, 496, 856 i.e 2 in different methods as follows.
Given Input numbers are 738, 686, 496, 856
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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 (738, 686, 496, 856) = 2.
Given numbers are 738, 686, 496, 856
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 856 are 2 x 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 738, 686, 496, 856 is 2.
Given numbers are 738, 686, 496, 856
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 686) = 253134
GCD(738, 686) = ( 738 x 686 ) / 253134
= 738 / 686
= 738
Step2:
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
= 2 / 496
= 2
Step3:
LCM(2, 856) = 856
GCD(2, 856) = ( 2 x 856 ) / 856
= 2 / 856
= 2
So, Greatest Common Divisor of 738, 686, 496, 856 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 686, 496, 856
The greatest common divisor of numbers 738, 686, 496, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 686, 496, 856 is 2.
1. What is the GCD of 738, 686, 496, 856?
GCD of given numbers 738, 686, 496, 856 is 2
2. How to calculate the greatest common divisor of 738, 686, 496, 856?
We can find the highest common divisor of 738, 686, 496, 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 738, 686, 496, 856 i.e 2.
3. How can I use the GCD of 738, 686, 496, 856Calculator?
Out the numbers 738, 686, 496, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.