GCD of 252, 440, 424 Calculator

Given Input numbers are 252, 440, 424

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

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 252, 440, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 440, 424 is 4.

Therefore, GCD of numbers 252, 440, 424 is 4

Given Input Data is 252, 440, 424

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

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(252, 440) = 27720

GCD(252, 440) = ( 252 x 440 ) / 27720

GCD(252, 440) = 110880 / 27720

GCD(252, 440) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 424

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

LCM(4, 424) = 424

GCD(4, 424) = ( 4 x 424 ) / 424

GCD(4, 424) = 1696 / 424

GCD(4, 424) = 4

GCD of 252, 440, 424 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 238, 599
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• GCD of 277, 607, 132
• GCD of 721, 302, 983
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1. What is the GCD of 252, 440, 424?

GCD of 252, 440, 424 is 4

2. Where do I get the detailed procedure to find GCD of 252, 440, 424?

You can find a detailed procedure to find GCD of 252, 440, 424 on our page.

3. How to find GCD of 252, 440, 424 on a calculator?

You can find the GCD of 252, 440, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.