GCD of 416, 508, 252 Calculator

Given Input numbers are 416, 508, 252

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 416, 508, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 508, 252 is 4.

Therefore, GCD of numbers 416, 508, 252 is 4

Given Input Data is 416, 508, 252

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(416, 508) = 52832

GCD(416, 508) = ( 416 x 508 ) / 52832

GCD(416, 508) = 211328 / 52832

GCD(416, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 252

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

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

GCD(4, 252) = 1008 / 252

GCD(4, 252) = 4

GCD of 416, 508, 252 is 4

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1. What is the GCD of 416, 508, 252?

GCD of 416, 508, 252 is 4

2. Where do I get the detailed procedure to find GCD of 416, 508, 252?

You can find a detailed procedure to find GCD of 416, 508, 252 on our page.

3. How to find GCD of 416, 508, 252 on a calculator?

You can find the GCD of 416, 508, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.