Online GCD Calculator is useful to find the GCD of 726, 388, 905, 342 quickly. Get the easiest ways to solve the greatest common divisor of 726, 388, 905, 342 i.e 1 in different methods as follows.
Given Input numbers are 726, 388, 905, 342
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 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
Divisors of 905 :
The positive integer divisors of 905 that completely divides 905 are.
1, 5, 181, 905
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (726, 388, 905, 342) = 1.
Given numbers are 726, 388, 905, 342
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 388 are 2 x 2 x 97
Prime factors of 905 are 5 x 181
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 726, 388, 905, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 388) = 140844
GCD(726, 388) = ( 726 x 388 ) / 140844
= 726 / 388
= 726
Step2:
LCM(2, 905) = 1810
GCD(2, 905) = ( 2 x 905 ) / 1810
= 2 / 905
= 2
Step3:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 726, 388, 905, 342 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 388, 905, 342
The greatest common divisor of numbers 726, 388, 905, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 388, 905, 342 is 1.
1. What is the GCD of 726, 388, 905, 342?
GCD of given numbers 726, 388, 905, 342 is 1
2. How to calculate the greatest common divisor of 726, 388, 905, 342?
We can find the highest common divisor of 726, 388, 905, 342 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, 388, 905, 342 i.e 1.
3. How can I use the GCD of 726, 388, 905, 342Calculator?
Out the numbers 726, 388, 905, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.