GCD of 530, 740, 50, 404 Calculator

Given Input numbers are 530, 740, 50, 404

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 530, 740, 50, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 740, 50, 404 is 2.

Therefore, GCD of numbers 530, 740, 50, 404 is 2

Given Input Data is 530, 740, 50, 404

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 404 is 2 x 2 x 101

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(530, 740) = 39220

GCD(530, 740) = ( 530 x 740 ) / 39220

GCD(530, 740) = 392200 / 39220

GCD(530, 740) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 50

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

LCM(10, 50) = 50

GCD(10, 50) = ( 10 x 50 ) / 50

GCD(10, 50) = 500 / 50

GCD(10, 50) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 404

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

LCM(10, 404) = 2020

GCD(10, 404) = ( 10 x 404 ) / 2020

GCD(10, 404) = 4040 / 2020

GCD(10, 404) = 2

GCD of 530, 740, 50, 404 is 2

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• GCD of 471, 348, 21, 487
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• GCD of 133, 289, 11, 412

1. What is the GCD of 530, 740, 50, 404?

GCD of 530, 740, 50, 404 is 2

2. Where do I get the detailed procedure to find GCD of 530, 740, 50, 404?

You can find a detailed procedure to find GCD of 530, 740, 50, 404 on our page.

3. How to find GCD of 530, 740, 50, 404 on a calculator?

You can find the GCD of 530, 740, 50, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.