GCD of 728, 438, 311, 875 Calculator

Given Input numbers are 728, 438, 311, 875

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

GCD of numbers is the greatest common divisor

So, the GCD (728, 438, 311, 875) = 1.

Given numbers are 728, 438, 311, 875

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 438 are 2 x 3 x 73

Prime factors of 311 are 311

Prime factors of 875 are 5 x 5 x 5 x 7

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

Given numbers are 728, 438, 311, 875

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

Apply this formula for all numbers.

Step1:

LCM(728, 438) = 159432

GCD(728, 438) = ( 728 x 438 ) / 159432

= 728 / 438

= 728

Step2:

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

= 2 / 311

= 2

Step3:

LCM(1, 875) = 875

GCD(1, 875) = ( 1 x 875 ) / 875

= 1 / 875

= 1

So, Greatest Common Divisor of 728, 438, 311, 875 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 320, 493, 838
• GCD of 935, 764, 181, 274
• GCD of 605, 868, 581, 635
• GCD of 313, 291, 806, 223
• GCD of 384, 677, 200, 770

Given numbers are 728, 438, 311, 875
The greatest common divisor of numbers 728, 438, 311, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 438, 311, 875 is 1.

1. What is the GCD of 728, 438, 311, 875?

GCD of given numbers 728, 438, 311, 875 is 1

2. How to calculate the greatest common divisor of 728, 438, 311, 875?

We can find the highest common divisor of 728, 438, 311, 875 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, 438, 311, 875 i.e 1.

3. How can I use the GCD of 728, 438, 311, 875Calculator?

Out the numbers 728, 438, 311, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.