GCD of 272, 375, 728, 384 Calculator

Given Input numbers are 272, 375, 728, 384

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (272, 375, 728, 384) = 1.

Given numbers are 272, 375, 728, 384

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 375 are 3 x 5 x 5 x 5

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

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Given numbers are 272, 375, 728, 384

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

Apply this formula for all numbers.

Step1:

LCM(272, 375) = 102000

GCD(272, 375) = ( 272 x 375 ) / 102000

= 272 / 375

= 272

Step2:

LCM(1, 728) = 728

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

= 1 / 728

= 1

Step3:

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

= 1 / 384

= 1

So, Greatest Common Divisor of 272, 375, 728, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 634, 771, 815
• GCD of 988, 148, 671, 853
• GCD of 311, 966, 401, 987
• GCD of 463, 737, 520, 338
• GCD of 669, 688, 980, 730

Given numbers are 272, 375, 728, 384
The greatest common divisor of numbers 272, 375, 728, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 375, 728, 384 is 1.

1. What is the GCD of 272, 375, 728, 384?

GCD of given numbers 272, 375, 728, 384 is 1

2. How to calculate the greatest common divisor of 272, 375, 728, 384?

We can find the highest common divisor of 272, 375, 728, 384 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 272, 375, 728, 384 i.e 1.

3. How can I use the GCD of 272, 375, 728, 384Calculator?

Out the numbers 272, 375, 728, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.