GCD of 585, 102, 581, 674 Calculator

Given Input numbers are 585, 102, 581, 674

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

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 585, 102, 581, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 102, 581, 674 is 1.

Therefore, GCD of numbers 585, 102, 581, 674 is 1

Given Input Data is 585, 102, 581, 674

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

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 581 is 7 x 83

Prime Factorization of 674 is 2 x 337

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(585, 102) = 19890

GCD(585, 102) = ( 585 x 102 ) / 19890

GCD(585, 102) = 59670 / 19890

GCD(585, 102) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 581

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

LCM(3, 581) = 1743

GCD(3, 581) = ( 3 x 581 ) / 1743

GCD(3, 581) = 1743 / 1743

GCD(3, 581) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 585, 102, 581, 674 is 1

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1. What is the GCD of 585, 102, 581, 674?

GCD of 585, 102, 581, 674 is 1

2. Where do I get the detailed procedure to find GCD of 585, 102, 581, 674?

You can find a detailed procedure to find GCD of 585, 102, 581, 674 on our page.

3. How to find GCD of 585, 102, 581, 674 on a calculator?

You can find the GCD of 585, 102, 581, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.