GCD of 115, 287, 524, 676 Calculator

Given Input numbers are 115, 287, 524, 676

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 287

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

1, 7, 41, 287

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

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

Greatest Common Divisior

We found the divisors of 115, 287, 524, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 287, 524, 676 is 1.

Therefore, GCD of numbers 115, 287, 524, 676 is 1

Given Input Data is 115, 287, 524, 676

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 287 is 7 x 41

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 676 is 2 x 2 x 13 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(115, 287) = 33005

GCD(115, 287) = ( 115 x 287 ) / 33005

GCD(115, 287) = 33005 / 33005

GCD(115, 287) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 115, 287, 524, 676 is 1

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1. What is the GCD of 115, 287, 524, 676?

GCD of 115, 287, 524, 676 is 1

2. Where do I get the detailed procedure to find GCD of 115, 287, 524, 676?

You can find a detailed procedure to find GCD of 115, 287, 524, 676 on our page.

3. How to find GCD of 115, 287, 524, 676 on a calculator?

You can find the GCD of 115, 287, 524, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.