GCD of 27, 28, 13, 38 Calculator

Given Input numbers are 27, 28, 13, 38

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

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 13 :

The positive integer divisors of 13 that completely divides 13 are.

1, 13

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

GCD of numbers is the greatest common divisor

So, the GCD (27, 28, 13, 38) = 1.

Given numbers are 27, 28, 13, 38

The list of prime factors of all numbers are

Prime factors of 27 are 3 x 3 x 3

Prime factors of 28 are 2 x 2 x 7

Prime factors of 13 are 13

Prime factors of 38 are 2 x 19

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

Given numbers are 27, 28, 13, 38

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

Apply this formula for all numbers.

Step1:

LCM(27, 28) = 756

GCD(27, 28) = ( 27 x 28 ) / 756

= 27 / 28

= 27

Step2:

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

= 1 / 13

= 1

Step3:

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

= 1 / 38

= 1

So, Greatest Common Divisor of 27, 28, 13, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 24, 44, 40
• GCD of 97, 67, 17, 69
• GCD of 69, 59, 88, 41
• GCD of 94, 88, 84, 38
• GCD of 85, 91, 47, 69

Given numbers are 27, 28, 13, 38
The greatest common divisor of numbers 27, 28, 13, 38 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 27, 28, 13, 38 is 1.

1. What is the GCD of 27, 28, 13, 38?

GCD of given numbers 27, 28, 13, 38 is 1

2. How to calculate the greatest common divisor of 27, 28, 13, 38?

We can find the highest common divisor of 27, 28, 13, 38 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 27, 28, 13, 38 i.e 1.

3. How can I use the GCD of 27, 28, 13, 38Calculator?

Out the numbers 27, 28, 13, 38 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.