GCD of 217, 897, 82, 112 Calculator

Given Input numbers are 217, 897, 82, 112

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 82

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

1, 2, 41, 82

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 217, 897, 82, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 897, 82, 112 is 1.

Therefore, GCD of numbers 217, 897, 82, 112 is 1

Given Input Data is 217, 897, 82, 112

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 82 is 2 x 41

Prime Factorization of 112 is 2 x 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(217, 897) = 194649

GCD(217, 897) = ( 217 x 897 ) / 194649

GCD(217, 897) = 194649 / 194649

GCD(217, 897) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 217, 897, 82, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 302, 81, 498
• GCD of 729, 176, 98, 464
• GCD of 798, 327, 94, 769
• GCD of 656, 920, 54, 994
• GCD of 387, 468, 56, 846

1. What is the GCD of 217, 897, 82, 112?

GCD of 217, 897, 82, 112 is 1

2. Where do I get the detailed procedure to find GCD of 217, 897, 82, 112?

You can find a detailed procedure to find GCD of 217, 897, 82, 112 on our page.

3. How to find GCD of 217, 897, 82, 112 on a calculator?

You can find the GCD of 217, 897, 82, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.