Online GCD Calculator is useful to find the GCD of 726, 644, 738, 838 quickly. Get the easiest ways to solve the greatest common divisor of 726, 644, 738, 838 i.e 2 in different methods as follows.
Given Input numbers are 726, 644, 738, 838
In the factoring method, we have to find the divisors of all numbers
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
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 838 :
The positive integer divisors of 838 that completely divides 838 are.
1, 2, 419, 838
GCD of numbers is the greatest common divisor
So, the GCD (726, 644, 738, 838) = 2.
Given numbers are 726, 644, 738, 838
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 838 are 2 x 419
The highest common occurrence is 21
Therefore, GCD of 726, 644, 738, 838 is 2.
Given numbers are 726, 644, 738, 838
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 644) = 233772
GCD(726, 644) = ( 726 x 644 ) / 233772
= 726 / 644
= 726
Step2:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
Step3:
LCM(2, 838) = 838
GCD(2, 838) = ( 2 x 838 ) / 838
= 2 / 838
= 2
So, Greatest Common Divisor of 726, 644, 738, 838 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 644, 738, 838
The greatest common divisor of numbers 726, 644, 738, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 644, 738, 838 is 2.
1. What is the GCD of 726, 644, 738, 838?
GCD of given numbers 726, 644, 738, 838 is 2
2. How to calculate the greatest common divisor of 726, 644, 738, 838?
We can find the highest common divisor of 726, 644, 738, 838 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 726, 644, 738, 838 i.e 2.
3. How can I use the GCD of 726, 644, 738, 838Calculator?
Out the numbers 726, 644, 738, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.