GCD of 484, 436, 53, 824 Calculator

Given Input numbers are 484, 436, 53, 824

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 484, 436, 53, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 436, 53, 824 is 1.

Therefore, GCD of numbers 484, 436, 53, 824 is 1

Given Input Data is 484, 436, 53, 824

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 53 is 53

Prime Factorization of 824 is 2 x 2 x 2 x 103

The above numbers do not have any common prime factor. So GCD is 1

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(484, 436) = 52756

GCD(484, 436) = ( 484 x 436 ) / 52756

GCD(484, 436) = 211024 / 52756

GCD(484, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 484, 436, 53, 824 is 1

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1. What is the GCD of 484, 436, 53, 824?

GCD of 484, 436, 53, 824 is 1

2. Where do I get the detailed procedure to find GCD of 484, 436, 53, 824?

You can find a detailed procedure to find GCD of 484, 436, 53, 824 on our page.

3. How to find GCD of 484, 436, 53, 824 on a calculator?

You can find the GCD of 484, 436, 53, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.