GCD of 116, 574, 502 Calculator

Given Input numbers are 116, 574, 502

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

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 116, 574, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 574, 502 is 2.

Therefore, GCD of numbers 116, 574, 502 is 2

Given Input Data is 116, 574, 502

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 574 is 2 x 7 x 41

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(116, 574) = 33292

GCD(116, 574) = ( 116 x 574 ) / 33292

GCD(116, 574) = 66584 / 33292

GCD(116, 574) = 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 116, 574, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 900, 154
• GCD of 979, 405, 694
• GCD of 190, 559, 396
• GCD of 249, 443, 334
• GCD of 883, 800, 156

1. What is the GCD of 116, 574, 502?

GCD of 116, 574, 502 is 2

2. Where do I get the detailed procedure to find GCD of 116, 574, 502?

You can find a detailed procedure to find GCD of 116, 574, 502 on our page.

3. How to find GCD of 116, 574, 502 on a calculator?

You can find the GCD of 116, 574, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.