GCD of 30, 500, 577, 434 Calculator

Given Input numbers are 30, 500, 577, 434

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 30, 500, 577, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 500, 577, 434 is 1.

Therefore, GCD of numbers 30, 500, 577, 434 is 1

Given Input Data is 30, 500, 577, 434

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

Prime Factorization of 30 is 2 x 3 x 5

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

Prime Factorization of 577 is 577

Prime Factorization of 434 is 2 x 7 x 31

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(30, 500) = 1500

GCD(30, 500) = ( 30 x 500 ) / 1500

GCD(30, 500) = 15000 / 1500

GCD(30, 500) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 577

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

LCM(10, 577) = 5770

GCD(10, 577) = ( 10 x 577 ) / 5770

GCD(10, 577) = 5770 / 5770

GCD(10, 577) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 30, 500, 577, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 566, 712, 211
• GCD of 48, 358, 210, 446
• GCD of 51, 818, 726, 326
• GCD of 27, 757, 568, 196
• GCD of 41, 530, 427, 748

1. What is the GCD of 30, 500, 577, 434?

GCD of 30, 500, 577, 434 is 1

2. Where do I get the detailed procedure to find GCD of 30, 500, 577, 434?

You can find a detailed procedure to find GCD of 30, 500, 577, 434 on our page.

3. How to find GCD of 30, 500, 577, 434 on a calculator?

You can find the GCD of 30, 500, 577, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.