GCD of 71, 282, 916, 683 Calculator

Given Input numbers are 71, 282, 916, 683

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 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 71, 282, 916, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 282, 916, 683 is 1.

Therefore, GCD of numbers 71, 282, 916, 683 is 1

Given Input Data is 71, 282, 916, 683

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

Prime Factorization of 71 is 71

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 683 is 683

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, 282) = 20022

GCD(71, 282) = ( 71 x 282 ) / 20022

GCD(71, 282) = 20022 / 20022

GCD(71, 282) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 71, 282, 916, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 833, 127, 157
• GCD of 23, 128, 798, 366
• GCD of 50, 865, 154, 679
• GCD of 50, 444, 483, 158
• GCD of 29, 796, 621, 908

1. What is the GCD of 71, 282, 916, 683?

GCD of 71, 282, 916, 683 is 1

2. Where do I get the detailed procedure to find GCD of 71, 282, 916, 683?

You can find a detailed procedure to find GCD of 71, 282, 916, 683 on our page.

3. How to find GCD of 71, 282, 916, 683 on a calculator?

You can find the GCD of 71, 282, 916, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.