GCD of 20, 97, 49, 56 Calculator

Given Input numbers are 20, 97, 49, 56

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 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 20, 97, 49, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 97, 49, 56 is 1.

Therefore, GCD of numbers 20, 97, 49, 56 is 1

Given Input Data is 20, 97, 49, 56

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 97 is 97

Prime Factorization of 49 is 7 x 7

Prime Factorization of 56 is 2 x 2 x 2 x 7

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, 97) = 1940

GCD(20, 97) = ( 20 x 97 ) / 1940

GCD(20, 97) = 1940 / 1940

GCD(20, 97) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 20, 97, 49, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 97, 95, 82
• GCD of 15, 64, 25, 14
• GCD of 26, 51, 68, 75
• GCD of 49, 63, 33, 11
• GCD of 69, 91, 95, 15

1. What is the GCD of 20, 97, 49, 56?

GCD of 20, 97, 49, 56 is 1

2. Where do I get the detailed procedure to find GCD of 20, 97, 49, 56?

You can find a detailed procedure to find GCD of 20, 97, 49, 56 on our page.

3. How to find GCD of 20, 97, 49, 56 on a calculator?

You can find the GCD of 20, 97, 49, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.