GCD of 74, 376, 500, 459 Calculator

Given Input numbers are 74, 376, 500, 459

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 74, 376, 500, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 376, 500, 459 is 1.

Therefore, GCD of numbers 74, 376, 500, 459 is 1

Given Input Data is 74, 376, 500, 459

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 376 is 2 x 2 x 2 x 47

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(74, 376) = 13912

GCD(74, 376) = ( 74 x 376 ) / 13912

GCD(74, 376) = 27824 / 13912

GCD(74, 376) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

GCD of 74, 376, 500, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 344, 407, 768
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1. What is the GCD of 74, 376, 500, 459?

GCD of 74, 376, 500, 459 is 1

2. Where do I get the detailed procedure to find GCD of 74, 376, 500, 459?

You can find a detailed procedure to find GCD of 74, 376, 500, 459 on our page.

3. How to find GCD of 74, 376, 500, 459 on a calculator?

You can find the GCD of 74, 376, 500, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.