GCD of 430, 520, 530, 386 Calculator

Given Input numbers are 430, 520, 530, 386

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

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 430, 520, 530, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 520, 530, 386 is 2.

Therefore, GCD of numbers 430, 520, 530, 386 is 2

Given Input Data is 430, 520, 530, 386

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

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 386 is 2 x 193

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(430, 520) = 22360

GCD(430, 520) = ( 430 x 520 ) / 22360

GCD(430, 520) = 223600 / 22360

GCD(430, 520) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 530

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

LCM(10, 530) = 530

GCD(10, 530) = ( 10 x 530 ) / 530

GCD(10, 530) = 5300 / 530

GCD(10, 530) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 386

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

LCM(10, 386) = 1930

GCD(10, 386) = ( 10 x 386 ) / 1930

GCD(10, 386) = 3860 / 1930

GCD(10, 386) = 2

GCD of 430, 520, 530, 386 is 2

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1. What is the GCD of 430, 520, 530, 386?

GCD of 430, 520, 530, 386 is 2

2. Where do I get the detailed procedure to find GCD of 430, 520, 530, 386?

You can find a detailed procedure to find GCD of 430, 520, 530, 386 on our page.

3. How to find GCD of 430, 520, 530, 386 on a calculator?

You can find the GCD of 430, 520, 530, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.