GCD of 747, 204, 51, 783 Calculator

Given Input numbers are 747, 204, 51, 783

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

Divisors of 747

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

1, 3, 9, 83, 249, 747

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 747, 204, 51, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 204, 51, 783 is 3.

Therefore, GCD of numbers 747, 204, 51, 783 is 3

Given Input Data is 747, 204, 51, 783

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 51 is 3 x 17

Prime Factorization of 783 is 3 x 3 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(747, 204) = 50796

GCD(747, 204) = ( 747 x 204 ) / 50796

GCD(747, 204) = 152388 / 50796

GCD(747, 204) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 783

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

LCM(3, 783) = 783

GCD(3, 783) = ( 3 x 783 ) / 783

GCD(3, 783) = 2349 / 783

GCD(3, 783) = 3

GCD of 747, 204, 51, 783 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 697, 86, 385
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• GCD of 620, 516, 70, 190
• GCD of 208, 806, 13, 899

1. What is the GCD of 747, 204, 51, 783?

GCD of 747, 204, 51, 783 is 3

2. Where do I get the detailed procedure to find GCD of 747, 204, 51, 783?

You can find a detailed procedure to find GCD of 747, 204, 51, 783 on our page.

3. How to find GCD of 747, 204, 51, 783 on a calculator?

You can find the GCD of 747, 204, 51, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.