GCD of 494, 533, 89, 400 Calculator

Given Input numbers are 494, 533, 89, 400

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 89

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

1, 89

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 494, 533, 89, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 533, 89, 400 is 1.

Therefore, GCD of numbers 494, 533, 89, 400 is 1

Given Input Data is 494, 533, 89, 400

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

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 533 is 13 x 41

Prime Factorization of 89 is 89

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(494, 533) = 20254

GCD(494, 533) = ( 494 x 533 ) / 20254

GCD(494, 533) = 263302 / 20254

GCD(494, 533) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 89

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

LCM(13, 89) = 1157

GCD(13, 89) = ( 13 x 89 ) / 1157

GCD(13, 89) = 1157 / 1157

GCD(13, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 494, 533, 89, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 483, 12, 786
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• GCD of 975, 112, 20, 214

1. What is the GCD of 494, 533, 89, 400?

GCD of 494, 533, 89, 400 is 1

2. Where do I get the detailed procedure to find GCD of 494, 533, 89, 400?

You can find a detailed procedure to find GCD of 494, 533, 89, 400 on our page.

3. How to find GCD of 494, 533, 89, 400 on a calculator?

You can find the GCD of 494, 533, 89, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.