GCD of 752, 489, 240, 683 Calculator

Given Input numbers are 752, 489, 240, 683

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 752, 489, 240, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 489, 240, 683 is 1.

Therefore, GCD of numbers 752, 489, 240, 683 is 1

Given Input Data is 752, 489, 240, 683

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 489 is 3 x 163

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 683 is 683

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(752, 489) = 367728

GCD(752, 489) = ( 752 x 489 ) / 367728

GCD(752, 489) = 367728 / 367728

GCD(752, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 752, 489, 240, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 974, 246, 169
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• GCD of 206, 200, 566, 155

1. What is the GCD of 752, 489, 240, 683?

GCD of 752, 489, 240, 683 is 1

2. Where do I get the detailed procedure to find GCD of 752, 489, 240, 683?

You can find a detailed procedure to find GCD of 752, 489, 240, 683 on our page.

3. How to find GCD of 752, 489, 240, 683 on a calculator?

You can find the GCD of 752, 489, 240, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.