Online GCD Calculator is useful to find the GCD of 726, 684, 133, 721 quickly. Get the easiest ways to solve the greatest common divisor of 726, 684, 133, 721 i.e 1 in different methods as follows.
Given Input numbers are 726, 684, 133, 721
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (726, 684, 133, 721) = 1.
Given numbers are 726, 684, 133, 721
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 133 are 7 x 19
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 726, 684, 133, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 684) = 82764
GCD(726, 684) = ( 726 x 684 ) / 82764
= 726 / 684
= 726
Step2:
LCM(6, 133) = 798
GCD(6, 133) = ( 6 x 133 ) / 798
= 6 / 133
= 6
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 726, 684, 133, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 684, 133, 721
The greatest common divisor of numbers 726, 684, 133, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 684, 133, 721 is 1.
1. What is the GCD of 726, 684, 133, 721?
GCD of given numbers 726, 684, 133, 721 is 1
2. How to calculate the greatest common divisor of 726, 684, 133, 721?
We can find the highest common divisor of 726, 684, 133, 721 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, 684, 133, 721 i.e 1.
3. How can I use the GCD of 726, 684, 133, 721Calculator?
Out the numbers 726, 684, 133, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.