GCD of 99, 313, 597, 552 Calculator

Given Input numbers are 99, 313, 597, 552

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

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 597

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

1, 3, 199, 597

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 99, 313, 597, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 313, 597, 552 is 1.

Therefore, GCD of numbers 99, 313, 597, 552 is 1

Given Input Data is 99, 313, 597, 552

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 313 is 313

Prime Factorization of 597 is 3 x 199

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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(99, 313) = 30987

GCD(99, 313) = ( 99 x 313 ) / 30987

GCD(99, 313) = 30987 / 30987

GCD(99, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 552

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

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

GCD(1, 552) = 552 / 552

GCD(1, 552) = 1

GCD of 99, 313, 597, 552 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 619, 582, 850
• GCD of 46, 836, 202, 495
• GCD of 65, 928, 421, 296
• GCD of 86, 396, 481, 779
• GCD of 63, 679, 827, 863

1. What is the GCD of 99, 313, 597, 552?

GCD of 99, 313, 597, 552 is 1

2. Where do I get the detailed procedure to find GCD of 99, 313, 597, 552?

You can find a detailed procedure to find GCD of 99, 313, 597, 552 on our page.

3. How to find GCD of 99, 313, 597, 552 on a calculator?

You can find the GCD of 99, 313, 597, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.