GCD of 706, 584, 19, 431 Calculator

Given Input numbers are 706, 584, 19, 431

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 706, 584, 19, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 584, 19, 431 is 1.

Therefore, GCD of numbers 706, 584, 19, 431 is 1

Given Input Data is 706, 584, 19, 431

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 19 is 19

Prime Factorization of 431 is 431

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(706, 584) = 206152

GCD(706, 584) = ( 706 x 584 ) / 206152

GCD(706, 584) = 412304 / 206152

GCD(706, 584) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 706, 584, 19, 431 is 1

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• GCD of 498, 944, 63, 258
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• GCD of 523, 612, 16, 753

1. What is the GCD of 706, 584, 19, 431?

GCD of 706, 584, 19, 431 is 1

2. Where do I get the detailed procedure to find GCD of 706, 584, 19, 431?

You can find a detailed procedure to find GCD of 706, 584, 19, 431 on our page.

3. How to find GCD of 706, 584, 19, 431 on a calculator?

You can find the GCD of 706, 584, 19, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.