GCD of 380, 339, 728, 723 Calculator

Given Input numbers are 380, 339, 728, 723

In the factoring method, we have to find the divisors of all numbers

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (380, 339, 728, 723) = 1.

Given numbers are 380, 339, 728, 723

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 339 are 3 x 113

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 723 are 3 x 241

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 380, 339, 728, 723

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(380, 339) = 128820

GCD(380, 339) = ( 380 x 339 ) / 128820

= 380 / 339

= 380

Step2:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 380, 339, 728, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 254, 393, 641
• GCD of 161, 632, 109, 667
• GCD of 982, 121, 207, 264
• GCD of 504, 901, 216, 889
• GCD of 618, 211, 722, 946

Given numbers are 380, 339, 728, 723
The greatest common divisor of numbers 380, 339, 728, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 339, 728, 723 is 1.

1. What is the GCD of 380, 339, 728, 723?

GCD of given numbers 380, 339, 728, 723 is 1

2. How to calculate the greatest common divisor of 380, 339, 728, 723?

We can find the highest common divisor of 380, 339, 728, 723 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 380, 339, 728, 723 i.e 1.

3. How can I use the GCD of 380, 339, 728, 723Calculator?

Out the numbers 380, 339, 728, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.