GCD of 342, 872, 502 Calculator

Given Input numbers are 342, 872, 502

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 502

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

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 342, 872, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 872, 502 is 2.

Therefore, GCD of numbers 342, 872, 502 is 2

Given Input Data is 342, 872, 502

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 502 is 2 x 251

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(342, 872) = 149112

GCD(342, 872) = ( 342 x 872 ) / 149112

GCD(342, 872) = 298224 / 149112

GCD(342, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 342, 872, 502 is 2

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• GCD of 107, 708, 719
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1. What is the GCD of 342, 872, 502?

GCD of 342, 872, 502 is 2

2. Where do I get the detailed procedure to find GCD of 342, 872, 502?

You can find a detailed procedure to find GCD of 342, 872, 502 on our page.

3. How to find GCD of 342, 872, 502 on a calculator?

You can find the GCD of 342, 872, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.