GCD of 476, 268, 389, 805 Calculator

Given Input numbers are 476, 268, 389, 805

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 476, 268, 389, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 268, 389, 805 is 1.

Therefore, GCD of numbers 476, 268, 389, 805 is 1

Given Input Data is 476, 268, 389, 805

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 389 is 389

Prime Factorization of 805 is 5 x 7 x 23

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(476, 268) = 31892

GCD(476, 268) = ( 476 x 268 ) / 31892

GCD(476, 268) = 127568 / 31892

GCD(476, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 389

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

LCM(4, 389) = 1556

GCD(4, 389) = ( 4 x 389 ) / 1556

GCD(4, 389) = 1556 / 1556

GCD(4, 389) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 476, 268, 389, 805 is 1

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1. What is the GCD of 476, 268, 389, 805?

GCD of 476, 268, 389, 805 is 1

2. Where do I get the detailed procedure to find GCD of 476, 268, 389, 805?

You can find a detailed procedure to find GCD of 476, 268, 389, 805 on our page.

3. How to find GCD of 476, 268, 389, 805 on a calculator?

You can find the GCD of 476, 268, 389, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.