GCD of 97, 20, 14, 61 Calculator

Given Input numbers are 97, 20, 14, 61

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

Divisors of 97

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

1, 97

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Greatest Common Divisior

We found the divisors of 97, 20, 14, 61 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 20, 14, 61 is 1.

Therefore, GCD of numbers 97, 20, 14, 61 is 1

Given Input Data is 97, 20, 14, 61

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

Prime Factorization of 97 is 97

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 14 is 2 x 7

Prime Factorization of 61 is 61

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(97, 20) = 1940

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

GCD(97, 20) = 1940 / 1940

GCD(97, 20) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

GCD of 97, 20, 14, 61 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 80, 43, 32
• GCD of 45, 78, 25, 61
• GCD of 65, 20, 80, 53
• GCD of 15, 92, 17, 61
• GCD of 39, 12, 53, 49

1. What is the GCD of 97, 20, 14, 61?

GCD of 97, 20, 14, 61 is 1

2. Where do I get the detailed procedure to find GCD of 97, 20, 14, 61?

You can find a detailed procedure to find GCD of 97, 20, 14, 61 on our page.

3. How to find GCD of 97, 20, 14, 61 on a calculator?

You can find the GCD of 97, 20, 14, 61 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.