GCD of 588, 916, 620, 804 Calculator

Given Input numbers are 588, 916, 620, 804

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 588, 916, 620, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 916, 620, 804 is 4.

Therefore, GCD of numbers 588, 916, 620, 804 is 4

Given Input Data is 588, 916, 620, 804

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 916 is 2 x 2 x 229

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 804 is 2 x 2 x 3 x 67

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 916) = 134652

GCD(588, 916) = ( 588 x 916 ) / 134652

GCD(588, 916) = 538608 / 134652

GCD(588, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 620

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

LCM(4, 620) = 620

GCD(4, 620) = ( 4 x 620 ) / 620

GCD(4, 620) = 2480 / 620

GCD(4, 620) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 804

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

LCM(4, 804) = 804

GCD(4, 804) = ( 4 x 804 ) / 804

GCD(4, 804) = 3216 / 804

GCD(4, 804) = 4

GCD of 588, 916, 620, 804 is 4

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1. What is the GCD of 588, 916, 620, 804?

GCD of 588, 916, 620, 804 is 4

2. Where do I get the detailed procedure to find GCD of 588, 916, 620, 804?

You can find a detailed procedure to find GCD of 588, 916, 620, 804 on our page.

3. How to find GCD of 588, 916, 620, 804 on a calculator?

You can find the GCD of 588, 916, 620, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.