GCD of 82, 588, 711, 798 Calculator

Given Input numbers are 82, 588, 711, 798

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

Divisors of 82

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

1, 2, 41, 82

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 82, 588, 711, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 588, 711, 798 is 1.

Therefore, GCD of numbers 82, 588, 711, 798 is 1

Given Input Data is 82, 588, 711, 798

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(82, 588) = 24108

GCD(82, 588) = ( 82 x 588 ) / 24108

GCD(82, 588) = 48216 / 24108

GCD(82, 588) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 711

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

LCM(2, 711) = 1422

GCD(2, 711) = ( 2 x 711 ) / 1422

GCD(2, 711) = 1422 / 1422

GCD(2, 711) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 82, 588, 711, 798 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 889, 329, 402
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• GCD of 78, 381, 476, 426

1. What is the GCD of 82, 588, 711, 798?

GCD of 82, 588, 711, 798 is 1

2. Where do I get the detailed procedure to find GCD of 82, 588, 711, 798?

You can find a detailed procedure to find GCD of 82, 588, 711, 798 on our page.

3. How to find GCD of 82, 588, 711, 798 on a calculator?

You can find the GCD of 82, 588, 711, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.