GCD of 584, 562, 71, 347 Calculator

Given Input numbers are 584, 562, 71, 347

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

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 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 584, 562, 71, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 562, 71, 347 is 1.

Therefore, GCD of numbers 584, 562, 71, 347 is 1

Given Input Data is 584, 562, 71, 347

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

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 71 is 71

Prime Factorization of 347 is 347

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(584, 562) = 164104

GCD(584, 562) = ( 584 x 562 ) / 164104

GCD(584, 562) = 328208 / 164104

GCD(584, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1

GCD of 584, 562, 71, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 848, 71, 180
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• GCD of 319, 211, 88, 785

1. What is the GCD of 584, 562, 71, 347?

GCD of 584, 562, 71, 347 is 1

2. Where do I get the detailed procedure to find GCD of 584, 562, 71, 347?

You can find a detailed procedure to find GCD of 584, 562, 71, 347 on our page.

3. How to find GCD of 584, 562, 71, 347 on a calculator?

You can find the GCD of 584, 562, 71, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.