GCD of 597, 687, 72, 288 Calculator

Given Input numbers are 597, 687, 72, 288

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

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

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 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Greatest Common Divisior

We found the divisors of 597, 687, 72, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 687, 72, 288 is 3.

Therefore, GCD of numbers 597, 687, 72, 288 is 3

Given Input Data is 597, 687, 72, 288

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

Prime Factorization of 597 is 3 x 199

Prime Factorization of 687 is 3 x 229

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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(597, 687) = 136713

GCD(597, 687) = ( 597 x 687 ) / 136713

GCD(597, 687) = 410139 / 136713

GCD(597, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 288

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

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

GCD(3, 288) = 864 / 288

GCD(3, 288) = 3

GCD of 597, 687, 72, 288 is 3

Here are some samples of GCD of Numbers calculations.

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• GCD of 496, 377, 67, 157

1. What is the GCD of 597, 687, 72, 288?

GCD of 597, 687, 72, 288 is 3

2. Where do I get the detailed procedure to find GCD of 597, 687, 72, 288?

You can find a detailed procedure to find GCD of 597, 687, 72, 288 on our page.

3. How to find GCD of 597, 687, 72, 288 on a calculator?

You can find the GCD of 597, 687, 72, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.