GCD of 523, 296, 99, 100 Calculator

Given Input numbers are 523, 296, 99, 100

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 523, 296, 99, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 296, 99, 100 is 1.

Therefore, GCD of numbers 523, 296, 99, 100 is 1

Given Input Data is 523, 296, 99, 100

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

Prime Factorization of 523 is 523

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(523, 296) = 154808

GCD(523, 296) = ( 523 x 296 ) / 154808

GCD(523, 296) = 154808 / 154808

GCD(523, 296) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 523, 296, 99, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 115, 54, 509
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• GCD of 463, 440, 78, 898
• GCD of 665, 568, 25, 264

1. What is the GCD of 523, 296, 99, 100?

GCD of 523, 296, 99, 100 is 1

2. Where do I get the detailed procedure to find GCD of 523, 296, 99, 100?

You can find a detailed procedure to find GCD of 523, 296, 99, 100 on our page.

3. How to find GCD of 523, 296, 99, 100 on a calculator?

You can find the GCD of 523, 296, 99, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.