GCD of 588, 309, 848, 647 Calculator

Given Input numbers are 588, 309, 848, 647

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 588, 309, 848, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 309, 848, 647 is 1.

Therefore, GCD of numbers 588, 309, 848, 647 is 1

Given Input Data is 588, 309, 848, 647

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 309 is 3 x 103

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 647 is 647

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(588, 309) = 60564

GCD(588, 309) = ( 588 x 309 ) / 60564

GCD(588, 309) = 181692 / 60564

GCD(588, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 848

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

LCM(3, 848) = 2544

GCD(3, 848) = ( 3 x 848 ) / 2544

GCD(3, 848) = 2544 / 2544

GCD(3, 848) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 647

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

LCM(1, 647) = 647

GCD(1, 647) = ( 1 x 647 ) / 647

GCD(1, 647) = 647 / 647

GCD(1, 647) = 1

GCD of 588, 309, 848, 647 is 1

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• GCD of 935, 126, 785, 702
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1. What is the GCD of 588, 309, 848, 647?

GCD of 588, 309, 848, 647 is 1

2. Where do I get the detailed procedure to find GCD of 588, 309, 848, 647?

You can find a detailed procedure to find GCD of 588, 309, 848, 647 on our page.

3. How to find GCD of 588, 309, 848, 647 on a calculator?

You can find the GCD of 588, 309, 848, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.