GCD of 509, 155, 457, 434 Calculator

Given Input numbers are 509, 155, 457, 434

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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 509, 155, 457, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 155, 457, 434 is 1.

Therefore, GCD of numbers 509, 155, 457, 434 is 1

Given Input Data is 509, 155, 457, 434

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

Prime Factorization of 509 is 509

Prime Factorization of 155 is 5 x 31

Prime Factorization of 457 is 457

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(509, 155) = 78895

GCD(509, 155) = ( 509 x 155 ) / 78895

GCD(509, 155) = 78895 / 78895

GCD(509, 155) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 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 509, 155, 457, 434 is 1

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1. What is the GCD of 509, 155, 457, 434?

GCD of 509, 155, 457, 434 is 1

2. Where do I get the detailed procedure to find GCD of 509, 155, 457, 434?

You can find a detailed procedure to find GCD of 509, 155, 457, 434 on our page.

3. How to find GCD of 509, 155, 457, 434 on a calculator?

You can find the GCD of 509, 155, 457, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.