GCD of 578, 871, 434 Calculator

Given Input numbers are 578, 871, 434

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

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 578, 871, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 871, 434 is 1.

Therefore, GCD of numbers 578, 871, 434 is 1

Given Input Data is 578, 871, 434

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 871 is 13 x 67

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(578, 871) = 503438

GCD(578, 871) = ( 578 x 871 ) / 503438

GCD(578, 871) = 503438 / 503438

GCD(578, 871) = 1

Step2:

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 578, 871, 434 is 1

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• GCD of 153, 906, 598
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1. What is the GCD of 578, 871, 434?

GCD of 578, 871, 434 is 1

2. Where do I get the detailed procedure to find GCD of 578, 871, 434?

You can find a detailed procedure to find GCD of 578, 871, 434 on our page.

3. How to find GCD of 578, 871, 434 on a calculator?

You can find the GCD of 578, 871, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.