GCD of 802, 417, 57, 585 Calculator

Given Input numbers are 802, 417, 57, 585

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Greatest Common Divisior

We found the divisors of 802, 417, 57, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 417, 57, 585 is 1.

Therefore, GCD of numbers 802, 417, 57, 585 is 1

Given Input Data is 802, 417, 57, 585

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 417 is 3 x 139

Prime Factorization of 57 is 3 x 19

Prime Factorization of 585 is 3 x 3 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(802, 417) = 334434

GCD(802, 417) = ( 802 x 417 ) / 334434

GCD(802, 417) = 334434 / 334434

GCD(802, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

GCD of 802, 417, 57, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 492, 26, 779
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• GCD of 848, 828, 34, 105

1. What is the GCD of 802, 417, 57, 585?

GCD of 802, 417, 57, 585 is 1

2. Where do I get the detailed procedure to find GCD of 802, 417, 57, 585?

You can find a detailed procedure to find GCD of 802, 417, 57, 585 on our page.

3. How to find GCD of 802, 417, 57, 585 on a calculator?

You can find the GCD of 802, 417, 57, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.