GCD of 535, 382, 58, 687 Calculator

Given Input numbers are 535, 382, 58, 687

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

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 58

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

1, 2, 29, 58

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 535, 382, 58, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 382, 58, 687 is 1.

Therefore, GCD of numbers 535, 382, 58, 687 is 1

Given Input Data is 535, 382, 58, 687

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 382 is 2 x 191

Prime Factorization of 58 is 2 x 29

Prime Factorization of 687 is 3 x 229

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(535, 382) = 204370

GCD(535, 382) = ( 535 x 382 ) / 204370

GCD(535, 382) = 204370 / 204370

GCD(535, 382) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 535, 382, 58, 687 is 1

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1. What is the GCD of 535, 382, 58, 687?

GCD of 535, 382, 58, 687 is 1

2. Where do I get the detailed procedure to find GCD of 535, 382, 58, 687?

You can find a detailed procedure to find GCD of 535, 382, 58, 687 on our page.

3. How to find GCD of 535, 382, 58, 687 on a calculator?

You can find the GCD of 535, 382, 58, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.