GCD of 612, 846, 747, 594 Calculator

Given Input numbers are 612, 846, 747, 594

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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

Greatest Common Divisior

We found the divisors of 612, 846, 747, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 846, 747, 594 is 9.

Therefore, GCD of numbers 612, 846, 747, 594 is 9

Given Input Data is 612, 846, 747, 594

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 747 is 3 x 3 x 83

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

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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(612, 846) = 28764

GCD(612, 846) = ( 612 x 846 ) / 28764

GCD(612, 846) = 517752 / 28764

GCD(612, 846) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 747

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

LCM(18, 747) = 1494

GCD(18, 747) = ( 18 x 747 ) / 1494

GCD(18, 747) = 13446 / 1494

GCD(18, 747) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 594

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

LCM(9, 594) = 594

GCD(9, 594) = ( 9 x 594 ) / 594

GCD(9, 594) = 5346 / 594

GCD(9, 594) = 9

GCD of 612, 846, 747, 594 is 9

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1. What is the GCD of 612, 846, 747, 594?

GCD of 612, 846, 747, 594 is 9

2. Where do I get the detailed procedure to find GCD of 612, 846, 747, 594?

You can find a detailed procedure to find GCD of 612, 846, 747, 594 on our page.

3. How to find GCD of 612, 846, 747, 594 on a calculator?

You can find the GCD of 612, 846, 747, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.