GCD of 39, 31, 99, 78 Calculator

Given Input numbers are 39, 31, 99, 78

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 31

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

1, 31

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Greatest Common Divisior

We found the divisors of 39, 31, 99, 78 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 31, 99, 78 is 1.

Therefore, GCD of numbers 39, 31, 99, 78 is 1

Given Input Data is 39, 31, 99, 78

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 31 is 31

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 78 is 2 x 3 x 13

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, 31) = 1209

GCD(39, 31) = ( 39 x 31 ) / 1209

GCD(39, 31) = 1209 / 1209

GCD(39, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

GCD of 39, 31, 99, 78 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 22, 36, 55
• GCD of 68, 82, 72, 97
• GCD of 90, 42, 94, 13
• GCD of 33, 12, 70, 78
• GCD of 79, 87, 95, 28

1. What is the GCD of 39, 31, 99, 78?

GCD of 39, 31, 99, 78 is 1

2. Where do I get the detailed procedure to find GCD of 39, 31, 99, 78?

You can find a detailed procedure to find GCD of 39, 31, 99, 78 on our page.

3. How to find GCD of 39, 31, 99, 78 on a calculator?

You can find the GCD of 39, 31, 99, 78 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.