GCD of 40, 31, 55, 83 Calculator

Given Input numbers are 40, 31, 55, 83

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 31

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

1, 31

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 40, 31, 55, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 31, 55, 83 is 1.

Therefore, GCD of numbers 40, 31, 55, 83 is 1

Given Input Data is 40, 31, 55, 83

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 31 is 31

Prime Factorization of 55 is 5 x 11

Prime Factorization of 83 is 83

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(40, 31) = 1240

GCD(40, 31) = ( 40 x 31 ) / 1240

GCD(40, 31) = 1240 / 1240

GCD(40, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

GCD of 40, 31, 55, 83 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 24, 71, 37
• GCD of 64, 65, 81, 65
• GCD of 18, 94, 56, 98
• GCD of 18, 13, 89, 19
• GCD of 51, 61, 93, 46

1. What is the GCD of 40, 31, 55, 83?

GCD of 40, 31, 55, 83 is 1

2. Where do I get the detailed procedure to find GCD of 40, 31, 55, 83?

You can find a detailed procedure to find GCD of 40, 31, 55, 83 on our page.

3. How to find GCD of 40, 31, 55, 83 on a calculator?

You can find the GCD of 40, 31, 55, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.