GCD of 687, 933, 18, 202 Calculator

Given Input numbers are 687, 933, 18, 202

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

Divisors of 687

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

1, 3, 229, 687

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 687, 933, 18, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 933, 18, 202 is 1.

Therefore, GCD of numbers 687, 933, 18, 202 is 1

Given Input Data is 687, 933, 18, 202

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 933 is 3 x 311

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 202 is 2 x 101

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(687, 933) = 213657

GCD(687, 933) = ( 687 x 933 ) / 213657

GCD(687, 933) = 640971 / 213657

GCD(687, 933) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 18

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

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

GCD(3, 18) = 54 / 18

GCD(3, 18) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 202

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

LCM(3, 202) = 606

GCD(3, 202) = ( 3 x 202 ) / 606

GCD(3, 202) = 606 / 606

GCD(3, 202) = 1

GCD of 687, 933, 18, 202 is 1

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1. What is the GCD of 687, 933, 18, 202?

GCD of 687, 933, 18, 202 is 1

2. Where do I get the detailed procedure to find GCD of 687, 933, 18, 202?

You can find a detailed procedure to find GCD of 687, 933, 18, 202 on our page.

3. How to find GCD of 687, 933, 18, 202 on a calculator?

You can find the GCD of 687, 933, 18, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.