GCD of 798, 588, 21, 588 Calculator

Given Input numbers are 798, 588, 21, 588

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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

Greatest Common Divisior

We found the divisors of 798, 588, 21, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 588, 21, 588 is 21.

Therefore, GCD of numbers 798, 588, 21, 588 is 21

Given Input Data is 798, 588, 21, 588

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

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

Prime Factorization of 21 is 3 x 7

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

Highest common occurrences in the given inputs are 3¹ x 7¹

Multiplying them we get the GCD as 21

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(798, 588) = 11172

GCD(798, 588) = ( 798 x 588 ) / 11172

GCD(798, 588) = 469224 / 11172

GCD(798, 588) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 21

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

LCM(42, 21) = 42

GCD(42, 21) = ( 42 x 21 ) / 42

GCD(42, 21) = 882 / 42

GCD(42, 21) = 21

Step3:

Here we consider the GCD from the above i.e. 21 as first number and the next as 588

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

LCM(21, 588) = 588

GCD(21, 588) = ( 21 x 588 ) / 588

GCD(21, 588) = 12348 / 588

GCD(21, 588) = 21

GCD of 798, 588, 21, 588 is 21

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1. What is the GCD of 798, 588, 21, 588?

GCD of 798, 588, 21, 588 is 21

2. Where do I get the detailed procedure to find GCD of 798, 588, 21, 588?

You can find a detailed procedure to find GCD of 798, 588, 21, 588 on our page.

3. How to find GCD of 798, 588, 21, 588 on a calculator?

You can find the GCD of 798, 588, 21, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.