GCD of 407, 283, 572, 827 Calculator

Given Input numbers are 407, 283, 572, 827

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 407, 283, 572, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 283, 572, 827 is 1.

Therefore, GCD of numbers 407, 283, 572, 827 is 1

Given Input Data is 407, 283, 572, 827

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 283 is 283

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 827 is 827

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(407, 283) = 115181

GCD(407, 283) = ( 407 x 283 ) / 115181

GCD(407, 283) = 115181 / 115181

GCD(407, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 572

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

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

GCD(1, 572) = 572 / 572

GCD(1, 572) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 407, 283, 572, 827 is 1

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1. What is the GCD of 407, 283, 572, 827?

GCD of 407, 283, 572, 827 is 1

2. Where do I get the detailed procedure to find GCD of 407, 283, 572, 827?

You can find a detailed procedure to find GCD of 407, 283, 572, 827 on our page.

3. How to find GCD of 407, 283, 572, 827 on a calculator?

You can find the GCD of 407, 283, 572, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.