GCD of 310, 145, 591, 337 Calculator

Given Input numbers are 310, 145, 591, 337

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Greatest Common Divisior

We found the divisors of 310, 145, 591, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 145, 591, 337 is 1.

Therefore, GCD of numbers 310, 145, 591, 337 is 1

Given Input Data is 310, 145, 591, 337

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 145 is 5 x 29

Prime Factorization of 591 is 3 x 197

Prime Factorization of 337 is 337

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(310, 145) = 8990

GCD(310, 145) = ( 310 x 145 ) / 8990

GCD(310, 145) = 44950 / 8990

GCD(310, 145) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 591

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

LCM(5, 591) = 2955

GCD(5, 591) = ( 5 x 591 ) / 2955

GCD(5, 591) = 2955 / 2955

GCD(5, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 337

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

LCM(1, 337) = 337

GCD(1, 337) = ( 1 x 337 ) / 337

GCD(1, 337) = 337 / 337

GCD(1, 337) = 1

GCD of 310, 145, 591, 337 is 1

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1. What is the GCD of 310, 145, 591, 337?

GCD of 310, 145, 591, 337 is 1

2. Where do I get the detailed procedure to find GCD of 310, 145, 591, 337?

You can find a detailed procedure to find GCD of 310, 145, 591, 337 on our page.

3. How to find GCD of 310, 145, 591, 337 on a calculator?

You can find the GCD of 310, 145, 591, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.