GCD of 83, 360, 489, 242 Calculator

Given Input numbers are 83, 360, 489, 242

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 83, 360, 489, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 360, 489, 242 is 1.

Therefore, GCD of numbers 83, 360, 489, 242 is 1

Given Input Data is 83, 360, 489, 242

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

Prime Factorization of 83 is 83

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 489 is 3 x 163

Prime Factorization of 242 is 2 x 11 x 11

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(83, 360) = 29880

GCD(83, 360) = ( 83 x 360 ) / 29880

GCD(83, 360) = 29880 / 29880

GCD(83, 360) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 83, 360, 489, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 912, 421, 963
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• GCD of 12, 668, 566, 601
• GCD of 13, 690, 828, 811
• GCD of 88, 405, 104, 700

1. What is the GCD of 83, 360, 489, 242?

GCD of 83, 360, 489, 242 is 1

2. Where do I get the detailed procedure to find GCD of 83, 360, 489, 242?

You can find a detailed procedure to find GCD of 83, 360, 489, 242 on our page.

3. How to find GCD of 83, 360, 489, 242 on a calculator?

You can find the GCD of 83, 360, 489, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.