GCD of 145, 645, 31, 568 Calculator

Given Input numbers are 145, 645, 31, 568

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

Divisors of 145

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

1, 5, 29, 145

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 145, 645, 31, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 645, 31, 568 is 1.

Therefore, GCD of numbers 145, 645, 31, 568 is 1

Given Input Data is 145, 645, 31, 568

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 31 is 31

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(145, 645) = 18705

GCD(145, 645) = ( 145 x 645 ) / 18705

GCD(145, 645) = 93525 / 18705

GCD(145, 645) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 31

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

LCM(5, 31) = 155

GCD(5, 31) = ( 5 x 31 ) / 155

GCD(5, 31) = 155 / 155

GCD(5, 31) = 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 145, 645, 31, 568 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 721, 21, 804
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• GCD of 691, 513, 90, 488

1. What is the GCD of 145, 645, 31, 568?

GCD of 145, 645, 31, 568 is 1

2. Where do I get the detailed procedure to find GCD of 145, 645, 31, 568?

You can find a detailed procedure to find GCD of 145, 645, 31, 568 on our page.

3. How to find GCD of 145, 645, 31, 568 on a calculator?

You can find the GCD of 145, 645, 31, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.