GCD of 27, 38, 31, 22 Calculator

Given Input numbers are 27, 38, 31, 22

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 38 :

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

1, 2, 19, 38

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

GCD of numbers is the greatest common divisor

So, the GCD (27, 38, 31, 22) = 1.

Given numbers are 27, 38, 31, 22

The list of prime factors of all numbers are

Prime factors of 27 are 3 x 3 x 3

Prime factors of 38 are 2 x 19

Prime factors of 31 are 31

Prime factors of 22 are 2 x 11

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

Given numbers are 27, 38, 31, 22

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

Apply this formula for all numbers.

Step1:

LCM(27, 38) = 1026

GCD(27, 38) = ( 27 x 38 ) / 1026

= 27 / 38

= 27

Step2:

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

= 1 / 31

= 1

Step3:

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

= 1 / 22

= 1

So, Greatest Common Divisor of 27, 38, 31, 22 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 25, 62, 58
• GCD of 39, 18, 62, 53
• GCD of 77, 75, 89, 41
• GCD of 25, 17, 69, 14
• GCD of 58, 78, 97, 22

Given numbers are 27, 38, 31, 22
The greatest common divisor of numbers 27, 38, 31, 22 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 27, 38, 31, 22 is 1.

1. What is the GCD of 27, 38, 31, 22?

GCD of given numbers 27, 38, 31, 22 is 1

2. How to calculate the greatest common divisor of 27, 38, 31, 22?

We can find the highest common divisor of 27, 38, 31, 22 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, 38, 31, 22 i.e 1.

3. How can I use the GCD of 27, 38, 31, 22Calculator?

Out the numbers 27, 38, 31, 22 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.