GCD of 676, 302, 287, 586 Calculator

Given Input numbers are 676, 302, 287, 586

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 676, 302, 287, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 302, 287, 586 is 1.

Therefore, GCD of numbers 676, 302, 287, 586 is 1

Given Input Data is 676, 302, 287, 586

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 302 is 2 x 151

Prime Factorization of 287 is 7 x 41

Prime Factorization of 586 is 2 x 293

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(676, 302) = 102076

GCD(676, 302) = ( 676 x 302 ) / 102076

GCD(676, 302) = 204152 / 102076

GCD(676, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 287

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

LCM(2, 287) = 574

GCD(2, 287) = ( 2 x 287 ) / 574

GCD(2, 287) = 574 / 574

GCD(2, 287) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 676, 302, 287, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 491, 762, 608
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• GCD of 161, 803, 420, 668
• GCD of 707, 728, 127, 499

1. What is the GCD of 676, 302, 287, 586?

GCD of 676, 302, 287, 586 is 1

2. Where do I get the detailed procedure to find GCD of 676, 302, 287, 586?

You can find a detailed procedure to find GCD of 676, 302, 287, 586 on our page.

3. How to find GCD of 676, 302, 287, 586 on a calculator?

You can find the GCD of 676, 302, 287, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.