GCD of 34, 44, 57, 31 Calculator

Given Input numbers are 34, 44, 57, 31

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 34, 44, 57, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 44, 57, 31 is 1.

Therefore, GCD of numbers 34, 44, 57, 31 is 1

Given Input Data is 34, 44, 57, 31

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 34 is 2 x 17

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 57 is 3 x 19

Prime Factorization of 31 is 31

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(34, 44) = 748

GCD(34, 44) = ( 34 x 44 ) / 748

GCD(34, 44) = 1496 / 748

GCD(34, 44) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

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

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 34, 44, 57, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 76, 76, 79
• GCD of 83, 71, 25, 99
• GCD of 19, 14, 89, 15
• GCD of 46, 82, 40, 96
• GCD of 43, 62, 51, 71

1. What is the GCD of 34, 44, 57, 31?

GCD of 34, 44, 57, 31 is 1

2. Where do I get the detailed procedure to find GCD of 34, 44, 57, 31?

You can find a detailed procedure to find GCD of 34, 44, 57, 31 on our page.

3. How to find GCD of 34, 44, 57, 31 on a calculator?

You can find the GCD of 34, 44, 57, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.