GCD of 493, 520, 82, 889 Calculator

Given Input numbers are 493, 520, 82, 889

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 82

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

1, 2, 41, 82

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 493, 520, 82, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 520, 82, 889 is 1.

Therefore, GCD of numbers 493, 520, 82, 889 is 1

Given Input Data is 493, 520, 82, 889

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 82 is 2 x 41

Prime Factorization of 889 is 7 x 127

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(493, 520) = 256360

GCD(493, 520) = ( 493 x 520 ) / 256360

GCD(493, 520) = 256360 / 256360

GCD(493, 520) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 493, 520, 82, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 669, 83, 690
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• GCD of 142, 165, 46, 262
• GCD of 210, 425, 40, 153
• GCD of 227, 490, 40, 881

1. What is the GCD of 493, 520, 82, 889?

GCD of 493, 520, 82, 889 is 1

2. Where do I get the detailed procedure to find GCD of 493, 520, 82, 889?

You can find a detailed procedure to find GCD of 493, 520, 82, 889 on our page.

3. How to find GCD of 493, 520, 82, 889 on a calculator?

You can find the GCD of 493, 520, 82, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.