GCD of 318, 553, 73, 299 Calculator

Given Input numbers are 318, 553, 73, 299

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 318, 553, 73, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 553, 73, 299 is 1.

Therefore, GCD of numbers 318, 553, 73, 299 is 1

Given Input Data is 318, 553, 73, 299

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 553 is 7 x 79

Prime Factorization of 73 is 73

Prime Factorization of 299 is 13 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(318, 553) = 175854

GCD(318, 553) = ( 318 x 553 ) / 175854

GCD(318, 553) = 175854 / 175854

GCD(318, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 318, 553, 73, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 720, 86, 130
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• GCD of 257, 177, 58, 313
• GCD of 310, 784, 87, 948
• GCD of 651, 541, 96, 487

1. What is the GCD of 318, 553, 73, 299?

GCD of 318, 553, 73, 299 is 1

2. Where do I get the detailed procedure to find GCD of 318, 553, 73, 299?

You can find a detailed procedure to find GCD of 318, 553, 73, 299 on our page.

3. How to find GCD of 318, 553, 73, 299 on a calculator?

You can find the GCD of 318, 553, 73, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.