GCD of 71, 412, 217, 898 Calculator

Given Input numbers are 71, 412, 217, 898

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 217

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

1, 7, 31, 217

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 71, 412, 217, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 412, 217, 898 is 1.

Therefore, GCD of numbers 71, 412, 217, 898 is 1

Given Input Data is 71, 412, 217, 898

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

Prime Factorization of 71 is 71

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 217 is 7 x 31

Prime Factorization of 898 is 2 x 449

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(71, 412) = 29252

GCD(71, 412) = ( 71 x 412 ) / 29252

GCD(71, 412) = 29252 / 29252

GCD(71, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 71, 412, 217, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 847, 153, 128
• GCD of 88, 354, 665, 683
• GCD of 95, 326, 774, 517
• GCD of 41, 881, 804, 938
• GCD of 46, 643, 449, 514

1. What is the GCD of 71, 412, 217, 898?

GCD of 71, 412, 217, 898 is 1

2. Where do I get the detailed procedure to find GCD of 71, 412, 217, 898?

You can find a detailed procedure to find GCD of 71, 412, 217, 898 on our page.

3. How to find GCD of 71, 412, 217, 898 on a calculator?

You can find the GCD of 71, 412, 217, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.