GCD of 500, 904, 50, 746 Calculator

Given Input numbers are 500, 904, 50, 746

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

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 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 500, 904, 50, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 904, 50, 746 is 2.

Therefore, GCD of numbers 500, 904, 50, 746 is 2

Given Input Data is 500, 904, 50, 746

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

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 746 is 2 x 373

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(500, 904) = 113000

GCD(500, 904) = ( 500 x 904 ) / 113000

GCD(500, 904) = 452000 / 113000

GCD(500, 904) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 50

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

LCM(4, 50) = 100

GCD(4, 50) = ( 4 x 50 ) / 100

GCD(4, 50) = 200 / 100

GCD(4, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

GCD of 500, 904, 50, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 633, 70, 215
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• GCD of 203, 848, 25, 451
• GCD of 107, 253, 86, 464
• GCD of 970, 736, 29, 230

1. What is the GCD of 500, 904, 50, 746?

GCD of 500, 904, 50, 746 is 2

2. Where do I get the detailed procedure to find GCD of 500, 904, 50, 746?

You can find a detailed procedure to find GCD of 500, 904, 50, 746 on our page.

3. How to find GCD of 500, 904, 50, 746 on a calculator?

You can find the GCD of 500, 904, 50, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.