GCD of 310, 340, 258, 563 Calculator

Given Input numbers are 310, 340, 258, 563

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 310, 340, 258, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 340, 258, 563 is 1.

Therefore, GCD of numbers 310, 340, 258, 563 is 1

Given Input Data is 310, 340, 258, 563

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 340 is 2 x 2 x 5 x 17

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 563 is 563

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, 340) = 10540

GCD(310, 340) = ( 310 x 340 ) / 10540

GCD(310, 340) = 105400 / 10540

GCD(310, 340) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 258

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

LCM(10, 258) = 1290

GCD(10, 258) = ( 10 x 258 ) / 1290

GCD(10, 258) = 2580 / 1290

GCD(10, 258) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

GCD of 310, 340, 258, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 729, 563, 148
• GCD of 693, 458, 250, 695
• GCD of 351, 582, 664, 363
• GCD of 380, 694, 556, 279
• GCD of 300, 312, 684, 659

1. What is the GCD of 310, 340, 258, 563?

GCD of 310, 340, 258, 563 is 1

2. Where do I get the detailed procedure to find GCD of 310, 340, 258, 563?

You can find a detailed procedure to find GCD of 310, 340, 258, 563 on our page.

3. How to find GCD of 310, 340, 258, 563 on a calculator?

You can find the GCD of 310, 340, 258, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.