GCD of 498, 819, 89, 707 Calculator

Given Input numbers are 498, 819, 89, 707

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 498, 819, 89, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 819, 89, 707 is 1.

Therefore, GCD of numbers 498, 819, 89, 707 is 1

Given Input Data is 498, 819, 89, 707

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 89 is 89

Prime Factorization of 707 is 7 x 101

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(498, 819) = 135954

GCD(498, 819) = ( 498 x 819 ) / 135954

GCD(498, 819) = 407862 / 135954

GCD(498, 819) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 89

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

LCM(3, 89) = 267

GCD(3, 89) = ( 3 x 89 ) / 267

GCD(3, 89) = 267 / 267

GCD(3, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 498, 819, 89, 707 is 1

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• GCD of 982, 784, 24, 558
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1. What is the GCD of 498, 819, 89, 707?

GCD of 498, 819, 89, 707 is 1

2. Where do I get the detailed procedure to find GCD of 498, 819, 89, 707?

You can find a detailed procedure to find GCD of 498, 819, 89, 707 on our page.

3. How to find GCD of 498, 819, 89, 707 on a calculator?

You can find the GCD of 498, 819, 89, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.