GCD of 334, 574, 90, 500 Calculator

Given Input numbers are 334, 574, 90, 500

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 334, 574, 90, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 574, 90, 500 is 2.

Therefore, GCD of numbers 334, 574, 90, 500 is 2

Given Input Data is 334, 574, 90, 500

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(334, 574) = 95858

GCD(334, 574) = ( 334 x 574 ) / 95858

GCD(334, 574) = 191716 / 95858

GCD(334, 574) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 334, 574, 90, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 559, 973, 42, 125
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• GCD of 546, 417, 26, 469

1. What is the GCD of 334, 574, 90, 500?

GCD of 334, 574, 90, 500 is 2

2. Where do I get the detailed procedure to find GCD of 334, 574, 90, 500?

You can find a detailed procedure to find GCD of 334, 574, 90, 500 on our page.

3. How to find GCD of 334, 574, 90, 500 on a calculator?

You can find the GCD of 334, 574, 90, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.