GCD of 112, 780, 502, 508 Calculator

Given Input numbers are 112, 780, 502, 508

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 502

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

1, 2, 251, 502

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 112, 780, 502, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 780, 502, 508 is 2.

Therefore, GCD of numbers 112, 780, 502, 508 is 2

Given Input Data is 112, 780, 502, 508

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 502 is 2 x 251

Prime Factorization of 508 is 2 x 2 x 127

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(112, 780) = 21840

GCD(112, 780) = ( 112 x 780 ) / 21840

GCD(112, 780) = 87360 / 21840

GCD(112, 780) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 502

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

LCM(4, 502) = 1004

GCD(4, 502) = ( 4 x 502 ) / 1004

GCD(4, 502) = 2008 / 1004

GCD(4, 502) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 112, 780, 502, 508 is 2

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1. What is the GCD of 112, 780, 502, 508?

GCD of 112, 780, 502, 508 is 2

2. Where do I get the detailed procedure to find GCD of 112, 780, 502, 508?

You can find a detailed procedure to find GCD of 112, 780, 502, 508 on our page.

3. How to find GCD of 112, 780, 502, 508 on a calculator?

You can find the GCD of 112, 780, 502, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.