GCD of 738, 248, 99, 683 Calculator

Given Input numbers are 738, 248, 99, 683

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 738, 248, 99, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 248, 99, 683 is 1.

Therefore, GCD of numbers 738, 248, 99, 683 is 1

Given Input Data is 738, 248, 99, 683

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 99 is 3 x 3 x 11

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(738, 248) = 91512

GCD(738, 248) = ( 738 x 248 ) / 91512

GCD(738, 248) = 183024 / 91512

GCD(738, 248) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 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 738, 248, 99, 683 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 235, 61, 765
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• GCD of 827, 338, 82, 522
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• GCD of 349, 722, 34, 230

1. What is the GCD of 738, 248, 99, 683?

GCD of 738, 248, 99, 683 is 1

2. Where do I get the detailed procedure to find GCD of 738, 248, 99, 683?

You can find a detailed procedure to find GCD of 738, 248, 99, 683 on our page.

3. How to find GCD of 738, 248, 99, 683 on a calculator?

You can find the GCD of 738, 248, 99, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.