GCD of 284, 472, 523, 862 Calculator

Given Input numbers are 284, 472, 523, 862

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 284, 472, 523, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 472, 523, 862 is 1.

Therefore, GCD of numbers 284, 472, 523, 862 is 1

Given Input Data is 284, 472, 523, 862

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 523 is 523

Prime Factorization of 862 is 2 x 431

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(284, 472) = 33512

GCD(284, 472) = ( 284 x 472 ) / 33512

GCD(284, 472) = 134048 / 33512

GCD(284, 472) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 523

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

LCM(4, 523) = 2092

GCD(4, 523) = ( 4 x 523 ) / 2092

GCD(4, 523) = 2092 / 2092

GCD(4, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1

GCD of 284, 472, 523, 862 is 1

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1. What is the GCD of 284, 472, 523, 862?

GCD of 284, 472, 523, 862 is 1

2. Where do I get the detailed procedure to find GCD of 284, 472, 523, 862?

You can find a detailed procedure to find GCD of 284, 472, 523, 862 on our page.

3. How to find GCD of 284, 472, 523, 862 on a calculator?

You can find the GCD of 284, 472, 523, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.