GCD of 696, 538, 202, 172 Calculator

Given Input numbers are 696, 538, 202, 172

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 202

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

1, 2, 101, 202

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 696, 538, 202, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 538, 202, 172 is 2.

Therefore, GCD of numbers 696, 538, 202, 172 is 2

Given Input Data is 696, 538, 202, 172

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 538 is 2 x 269

Prime Factorization of 202 is 2 x 101

Prime Factorization of 172 is 2 x 2 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(696, 538) = 187224

GCD(696, 538) = ( 696 x 538 ) / 187224

GCD(696, 538) = 374448 / 187224

GCD(696, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 696, 538, 202, 172 is 2

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1. What is the GCD of 696, 538, 202, 172?

GCD of 696, 538, 202, 172 is 2

2. Where do I get the detailed procedure to find GCD of 696, 538, 202, 172?

You can find a detailed procedure to find GCD of 696, 538, 202, 172 on our page.

3. How to find GCD of 696, 538, 202, 172 on a calculator?

You can find the GCD of 696, 538, 202, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.