GCD of 520, 295, 89, 605 Calculator

Given Input numbers are 520, 295, 89, 605

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Greatest Common Divisior

We found the divisors of 520, 295, 89, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 295, 89, 605 is 1.

Therefore, GCD of numbers 520, 295, 89, 605 is 1

Given Input Data is 520, 295, 89, 605

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 295 is 5 x 59

Prime Factorization of 89 is 89

Prime Factorization of 605 is 5 x 11 x 11

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(520, 295) = 30680

GCD(520, 295) = ( 520 x 295 ) / 30680

GCD(520, 295) = 153400 / 30680

GCD(520, 295) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 89

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

LCM(5, 89) = 445

GCD(5, 89) = ( 5 x 89 ) / 445

GCD(5, 89) = 445 / 445

GCD(5, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 605

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

LCM(1, 605) = 605

GCD(1, 605) = ( 1 x 605 ) / 605

GCD(1, 605) = 605 / 605

GCD(1, 605) = 1

GCD of 520, 295, 89, 605 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 118, 45, 164
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• GCD of 832, 178, 23, 989
• GCD of 538, 695, 62, 174
• GCD of 750, 222, 44, 486

1. What is the GCD of 520, 295, 89, 605?

GCD of 520, 295, 89, 605 is 1

2. Where do I get the detailed procedure to find GCD of 520, 295, 89, 605?

You can find a detailed procedure to find GCD of 520, 295, 89, 605 on our page.

3. How to find GCD of 520, 295, 89, 605 on a calculator?

You can find the GCD of 520, 295, 89, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.