GCD of 73, 291, 920, 311 Calculator

Given Input numbers are 73, 291, 920, 311

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

Divisors of 73

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

1, 73

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 73, 291, 920, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 291, 920, 311 is 1.

Therefore, GCD of numbers 73, 291, 920, 311 is 1

Given Input Data is 73, 291, 920, 311

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

Prime Factorization of 73 is 73

Prime Factorization of 291 is 3 x 97

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 311 is 311

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(73, 291) = 21243

GCD(73, 291) = ( 73 x 291 ) / 21243

GCD(73, 291) = 21243 / 21243

GCD(73, 291) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 73, 291, 920, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 727, 336, 219
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• GCD of 36, 486, 983, 746
• GCD of 86, 856, 377, 610

1. What is the GCD of 73, 291, 920, 311?

GCD of 73, 291, 920, 311 is 1

2. Where do I get the detailed procedure to find GCD of 73, 291, 920, 311?

You can find a detailed procedure to find GCD of 73, 291, 920, 311 on our page.

3. How to find GCD of 73, 291, 920, 311 on a calculator?

You can find the GCD of 73, 291, 920, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.