GCD of 20, 17, 70, 31 Calculator

Given Input numbers are 20, 17, 70, 31

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 31

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

1, 31

Greatest Common Divisior

We found the divisors of 20, 17, 70, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 17, 70, 31 is 1.

Therefore, GCD of numbers 20, 17, 70, 31 is 1

Given Input Data is 20, 17, 70, 31

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 17 is 17

Prime Factorization of 70 is 2 x 5 x 7

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(20, 17) = 340

GCD(20, 17) = ( 20 x 17 ) / 340

GCD(20, 17) = 340 / 340

GCD(20, 17) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 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 20, 17, 70, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 99, 42, 99
• GCD of 88, 64, 42, 17
• GCD of 17, 49, 80, 52
• GCD of 82, 14, 55, 87
• GCD of 64, 14, 88, 58

1. What is the GCD of 20, 17, 70, 31?

GCD of 20, 17, 70, 31 is 1

2. Where do I get the detailed procedure to find GCD of 20, 17, 70, 31?

You can find a detailed procedure to find GCD of 20, 17, 70, 31 on our page.

3. How to find GCD of 20, 17, 70, 31 on a calculator?

You can find the GCD of 20, 17, 70, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.