GCD of 155, 500, 79, 313 Calculator

Given Input numbers are 155, 500, 79, 313

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

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 313

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

1, 313

Greatest Common Divisior

We found the divisors of 155, 500, 79, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 500, 79, 313 is 1.

Therefore, GCD of numbers 155, 500, 79, 313 is 1

Given Input Data is 155, 500, 79, 313

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

Prime Factorization of 155 is 5 x 31

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 79 is 79

Prime Factorization of 313 is 313

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(155, 500) = 15500

GCD(155, 500) = ( 155 x 500 ) / 15500

GCD(155, 500) = 77500 / 15500

GCD(155, 500) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 79

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

LCM(5, 79) = 395

GCD(5, 79) = ( 5 x 79 ) / 395

GCD(5, 79) = 395 / 395

GCD(5, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 155, 500, 79, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 294, 48, 275
• GCD of 888, 927, 49, 389
• GCD of 311, 854, 97, 890
• GCD of 295, 893, 96, 221
• GCD of 335, 480, 94, 881

1. What is the GCD of 155, 500, 79, 313?

GCD of 155, 500, 79, 313 is 1

2. Where do I get the detailed procedure to find GCD of 155, 500, 79, 313?

You can find a detailed procedure to find GCD of 155, 500, 79, 313 on our page.

3. How to find GCD of 155, 500, 79, 313 on a calculator?

You can find the GCD of 155, 500, 79, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.