GCD of 502, 698, 172 Calculator

Given Input numbers are 502, 698, 172

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

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 502, 698, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 698, 172 is 2.

Therefore, GCD of numbers 502, 698, 172 is 2

Given Input Data is 502, 698, 172

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 698 is 2 x 349

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(502, 698) = 175198

GCD(502, 698) = ( 502 x 698 ) / 175198

GCD(502, 698) = 350396 / 175198

GCD(502, 698) = 2

Step2:

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 502, 698, 172 is 2

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1. What is the GCD of 502, 698, 172?

GCD of 502, 698, 172 is 2

2. Where do I get the detailed procedure to find GCD of 502, 698, 172?

You can find a detailed procedure to find GCD of 502, 698, 172 on our page.

3. How to find GCD of 502, 698, 172 on a calculator?

You can find the GCD of 502, 698, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.