GCD of 158, 216, 580, 313 Calculator

Given Input numbers are 158, 216, 580, 313

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

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

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 158, 216, 580, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 216, 580, 313 is 1.

Therefore, GCD of numbers 158, 216, 580, 313 is 1

Given Input Data is 158, 216, 580, 313

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(158, 216) = 17064

GCD(158, 216) = ( 158 x 216 ) / 17064

GCD(158, 216) = 34128 / 17064

GCD(158, 216) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 580

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

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

GCD(2, 580) = 1160 / 580

GCD(2, 580) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 313

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

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

GCD(2, 313) = 626 / 626

GCD(2, 313) = 1

GCD of 158, 216, 580, 313 is 1

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1. What is the GCD of 158, 216, 580, 313?

GCD of 158, 216, 580, 313 is 1

2. Where do I get the detailed procedure to find GCD of 158, 216, 580, 313?

You can find a detailed procedure to find GCD of 158, 216, 580, 313 on our page.

3. How to find GCD of 158, 216, 580, 313 on a calculator?

You can find the GCD of 158, 216, 580, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.