GCD of 345, 734, 20, 568 Calculator

Given Input numbers are 345, 734, 20, 568

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Greatest Common Divisior

We found the divisors of 345, 734, 20, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 734, 20, 568 is 1.

Therefore, GCD of numbers 345, 734, 20, 568 is 1

Given Input Data is 345, 734, 20, 568

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 734 is 2 x 367

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 568 is 2 x 2 x 2 x 71

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(345, 734) = 253230

GCD(345, 734) = ( 345 x 734 ) / 253230

GCD(345, 734) = 253230 / 253230

GCD(345, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 568

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

LCM(1, 568) = 568

GCD(1, 568) = ( 1 x 568 ) / 568

GCD(1, 568) = 568 / 568

GCD(1, 568) = 1

GCD of 345, 734, 20, 568 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 321, 82, 770
• GCD of 731, 560, 55, 875
• GCD of 500, 646, 88, 621
• GCD of 472, 496, 95, 363
• GCD of 467, 197, 46, 523

1. What is the GCD of 345, 734, 20, 568?

GCD of 345, 734, 20, 568 is 1

2. Where do I get the detailed procedure to find GCD of 345, 734, 20, 568?

You can find a detailed procedure to find GCD of 345, 734, 20, 568 on our page.

3. How to find GCD of 345, 734, 20, 568 on a calculator?

You can find the GCD of 345, 734, 20, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.