GCD of 11, 74, 43, 31 Calculator

Given Input numbers are 11, 74, 43, 31

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

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 11, 74, 43, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 74, 43, 31 is 1.

Therefore, GCD of numbers 11, 74, 43, 31 is 1

Given Input Data is 11, 74, 43, 31

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

Prime Factorization of 11 is 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 43 is 43

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(11, 74) = 814

GCD(11, 74) = ( 11 x 74 ) / 814

GCD(11, 74) = 814 / 814

GCD(11, 74) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 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 11, 74, 43, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 83, 20, 12
• GCD of 42, 45, 89, 43
• GCD of 73, 74, 20, 95
• GCD of 61, 69, 30, 83
• GCD of 12, 72, 21, 99

1. What is the GCD of 11, 74, 43, 31?

GCD of 11, 74, 43, 31 is 1

2. Where do I get the detailed procedure to find GCD of 11, 74, 43, 31?

You can find a detailed procedure to find GCD of 11, 74, 43, 31 on our page.

3. How to find GCD of 11, 74, 43, 31 on a calculator?

You can find the GCD of 11, 74, 43, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.