GCD of 58, 805, 649, 520 Calculator

Given Input numbers are 58, 805, 649, 520

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

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

Greatest Common Divisior

We found the divisors of 58, 805, 649, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 805, 649, 520 is 1.

Therefore, GCD of numbers 58, 805, 649, 520 is 1

Given Input Data is 58, 805, 649, 520

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 649 is 11 x 59

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

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(58, 805) = 46690

GCD(58, 805) = ( 58 x 805 ) / 46690

GCD(58, 805) = 46690 / 46690

GCD(58, 805) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 58, 805, 649, 520 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 848, 915, 502
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• GCD of 42, 720, 869, 353
• GCD of 46, 449, 700, 528

1. What is the GCD of 58, 805, 649, 520?

GCD of 58, 805, 649, 520 is 1

2. Where do I get the detailed procedure to find GCD of 58, 805, 649, 520?

You can find a detailed procedure to find GCD of 58, 805, 649, 520 on our page.

3. How to find GCD of 58, 805, 649, 520 on a calculator?

You can find the GCD of 58, 805, 649, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.