GCD of 39, 10, 31, 66 Calculator

Given Input numbers are 39, 10, 31, 66

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 31

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

1, 31

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 39, 10, 31, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 10, 31, 66 is 1.

Therefore, GCD of numbers 39, 10, 31, 66 is 1

Given Input Data is 39, 10, 31, 66

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 10 is 2 x 5

Prime Factorization of 31 is 31

Prime Factorization of 66 is 2 x 3 x 11

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(39, 10) = 390

GCD(39, 10) = ( 39 x 10 ) / 390

GCD(39, 10) = 390 / 390

GCD(39, 10) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 39, 10, 31, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 66, 37, 19
• GCD of 23, 50, 67, 62
• GCD of 60, 35, 47, 14
• GCD of 21, 80, 79, 70
• GCD of 48, 86, 50, 93

1. What is the GCD of 39, 10, 31, 66?

GCD of 39, 10, 31, 66 is 1

2. Where do I get the detailed procedure to find GCD of 39, 10, 31, 66?

You can find a detailed procedure to find GCD of 39, 10, 31, 66 on our page.

3. How to find GCD of 39, 10, 31, 66 on a calculator?

You can find the GCD of 39, 10, 31, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.