GCD of 68, 82, 72, 97 Calculator

Given Input numbers are 68, 82, 72, 97

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 97

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

1, 97

Greatest Common Divisior

We found the divisors of 68, 82, 72, 97 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 82, 72, 97 is 1.

Therefore, GCD of numbers 68, 82, 72, 97 is 1

Given Input Data is 68, 82, 72, 97

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 82 is 2 x 41

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 97 is 97

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(68, 82) = 2788

GCD(68, 82) = ( 68 x 82 ) / 2788

GCD(68, 82) = 5576 / 2788

GCD(68, 82) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1

GCD of 68, 82, 72, 97 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 20, 36, 93
• GCD of 75, 63, 48, 38
• GCD of 82, 32, 20, 79
• GCD of 77, 92, 57, 91
• GCD of 73, 41, 23, 93

1. What is the GCD of 68, 82, 72, 97?

GCD of 68, 82, 72, 97 is 1

2. Where do I get the detailed procedure to find GCD of 68, 82, 72, 97?

You can find a detailed procedure to find GCD of 68, 82, 72, 97 on our page.

3. How to find GCD of 68, 82, 72, 97 on a calculator?

You can find the GCD of 68, 82, 72, 97 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.