GCD of 499, 747, 288, 907 Calculator

Given Input numbers are 499, 747, 288, 907

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 747

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

1, 3, 9, 83, 249, 747

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

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Greatest Common Divisior

We found the divisors of 499, 747, 288, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 747, 288, 907 is 1.

Therefore, GCD of numbers 499, 747, 288, 907 is 1

Given Input Data is 499, 747, 288, 907

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

Prime Factorization of 499 is 499

Prime Factorization of 747 is 3 x 3 x 83

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

Prime Factorization of 907 is 907

The above numbers do not have any common prime factor. So GCD is 1

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(499, 747) = 372753

GCD(499, 747) = ( 499 x 747 ) / 372753

GCD(499, 747) = 372753 / 372753

GCD(499, 747) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 907

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

LCM(1, 907) = 907

GCD(1, 907) = ( 1 x 907 ) / 907

GCD(1, 907) = 907 / 907

GCD(1, 907) = 1

GCD of 499, 747, 288, 907 is 1

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1. What is the GCD of 499, 747, 288, 907?

GCD of 499, 747, 288, 907 is 1

2. Where do I get the detailed procedure to find GCD of 499, 747, 288, 907?

You can find a detailed procedure to find GCD of 499, 747, 288, 907 on our page.

3. How to find GCD of 499, 747, 288, 907 on a calculator?

You can find the GCD of 499, 747, 288, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.