GCD of 72, 297, 519, 852 Calculator

Given Input numbers are 72, 297, 519, 852

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 72, 297, 519, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 297, 519, 852 is 3.

Therefore, GCD of numbers 72, 297, 519, 852 is 3

Given Input Data is 72, 297, 519, 852

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 519 is 3 x 173

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(72, 297) = 2376

GCD(72, 297) = ( 72 x 297 ) / 2376

GCD(72, 297) = 21384 / 2376

GCD(72, 297) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 519

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

LCM(9, 519) = 1557

GCD(9, 519) = ( 9 x 519 ) / 1557

GCD(9, 519) = 4671 / 1557

GCD(9, 519) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 852

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

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

GCD(3, 852) = 2556 / 852

GCD(3, 852) = 3

GCD of 72, 297, 519, 852 is 3

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• GCD of 30, 366, 121, 833
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• GCD of 39, 337, 339, 946

1. What is the GCD of 72, 297, 519, 852?

GCD of 72, 297, 519, 852 is 3

2. Where do I get the detailed procedure to find GCD of 72, 297, 519, 852?

You can find a detailed procedure to find GCD of 72, 297, 519, 852 on our page.

3. How to find GCD of 72, 297, 519, 852 on a calculator?

You can find the GCD of 72, 297, 519, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.