GCD of 70, 6, 39, 31 Calculator

Given Input numbers are 70, 6, 39, 31

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 6

List of positive integer divisors of 6 that divides 6 without a remainder.

1, 2, 3, 6

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

Greatest Common Divisior

We found the divisors of 70, 6, 39, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 6, 39, 31 is 1.

Therefore, GCD of numbers 70, 6, 39, 31 is 1

Given Input Data is 70, 6, 39, 31

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 6 is 2 x 3

Prime Factorization of 39 is 3 x 13

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(70, 6) = 210

GCD(70, 6) = ( 70 x 6 ) / 210

GCD(70, 6) = 420 / 210

GCD(70, 6) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 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 70, 6, 39, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 8, 82, 81
• GCD of 71, 1, 19, 49
• GCD of 14, 5, 54, 86
• GCD of 98, 1, 71, 14
• GCD of 45, 2, 21, 11

1. What is the GCD of 70, 6, 39, 31?

GCD of 70, 6, 39, 31 is 1

2. Where do I get the detailed procedure to find GCD of 70, 6, 39, 31?

You can find a detailed procedure to find GCD of 70, 6, 39, 31 on our page.

3. How to find GCD of 70, 6, 39, 31 on a calculator?

You can find the GCD of 70, 6, 39, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.