GCD of 594, 756, 804, 630 Calculator

Given Input numbers are 594, 756, 804, 630

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

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 594, 756, 804, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 756, 804, 630 is 6.

Therefore, GCD of numbers 594, 756, 804, 630 is 6

Given Input Data is 594, 756, 804, 630

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

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(594, 756) = 8316

GCD(594, 756) = ( 594 x 756 ) / 8316

GCD(594, 756) = 449064 / 8316

GCD(594, 756) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 804

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

LCM(54, 804) = 7236

GCD(54, 804) = ( 54 x 804 ) / 7236

GCD(54, 804) = 43416 / 7236

GCD(54, 804) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 630

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

LCM(6, 630) = 630

GCD(6, 630) = ( 6 x 630 ) / 630

GCD(6, 630) = 3780 / 630

GCD(6, 630) = 6

GCD of 594, 756, 804, 630 is 6

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1. What is the GCD of 594, 756, 804, 630?

GCD of 594, 756, 804, 630 is 6

2. Where do I get the detailed procedure to find GCD of 594, 756, 804, 630?

You can find a detailed procedure to find GCD of 594, 756, 804, 630 on our page.

3. How to find GCD of 594, 756, 804, 630 on a calculator?

You can find the GCD of 594, 756, 804, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.