GCD of 83, 537, 898, 306 Calculator

Given Input numbers are 83, 537, 898, 306

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 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 898

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

1, 2, 449, 898

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 83, 537, 898, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 537, 898, 306 is 1.

Therefore, GCD of numbers 83, 537, 898, 306 is 1

Given Input Data is 83, 537, 898, 306

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

Prime Factorization of 83 is 83

Prime Factorization of 537 is 3 x 179

Prime Factorization of 898 is 2 x 449

Prime Factorization of 306 is 2 x 3 x 3 x 17

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, 537) = 44571

GCD(83, 537) = ( 83 x 537 ) / 44571

GCD(83, 537) = 44571 / 44571

GCD(83, 537) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 83, 537, 898, 306 is 1

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1. What is the GCD of 83, 537, 898, 306?

GCD of 83, 537, 898, 306 is 1

2. Where do I get the detailed procedure to find GCD of 83, 537, 898, 306?

You can find a detailed procedure to find GCD of 83, 537, 898, 306 on our page.

3. How to find GCD of 83, 537, 898, 306 on a calculator?

You can find the GCD of 83, 537, 898, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.