GCD of 728, 312, 379, 739 Calculator

Given Input numbers are 728, 312, 379, 739

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

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

GCD of numbers is the greatest common divisor

So, the GCD (728, 312, 379, 739) = 1.

Given numbers are 728, 312, 379, 739

The list of prime factors of all numbers are

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 379 are 379

Prime factors of 739 are 739

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

Given numbers are 728, 312, 379, 739

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

Apply this formula for all numbers.

Step1:

LCM(728, 312) = 2184

GCD(728, 312) = ( 728 x 312 ) / 2184

= 728 / 312

= 728

Step2:

LCM(104, 379) = 39416

GCD(104, 379) = ( 104 x 379 ) / 39416

= 104 / 379

= 104

Step3:

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

= 1 / 739

= 1

So, Greatest Common Divisor of 728, 312, 379, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 383, 413, 713
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• GCD of 477, 774, 657, 569
• GCD of 236, 791, 766, 853
• GCD of 891, 614, 242, 813

Given numbers are 728, 312, 379, 739
The greatest common divisor of numbers 728, 312, 379, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 312, 379, 739 is 1.

1. What is the GCD of 728, 312, 379, 739?

GCD of given numbers 728, 312, 379, 739 is 1

2. How to calculate the greatest common divisor of 728, 312, 379, 739?

We can find the highest common divisor of 728, 312, 379, 739 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 728, 312, 379, 739 i.e 1.

3. How can I use the GCD of 728, 312, 379, 739Calculator?

Out the numbers 728, 312, 379, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.