GCD of 476, 176, 279, 491 Calculator

Given Input numbers are 476, 176, 279, 491

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 476, 176, 279, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 176, 279, 491 is 1.

Therefore, GCD of numbers 476, 176, 279, 491 is 1

Given Input Data is 476, 176, 279, 491

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 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 491 is 491

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, 176) = 20944

GCD(476, 176) = ( 476 x 176 ) / 20944

GCD(476, 176) = 83776 / 20944

GCD(476, 176) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 279

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

LCM(4, 279) = 1116

GCD(4, 279) = ( 4 x 279 ) / 1116

GCD(4, 279) = 1116 / 1116

GCD(4, 279) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 476, 176, 279, 491 is 1

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1. What is the GCD of 476, 176, 279, 491?

GCD of 476, 176, 279, 491 is 1

2. Where do I get the detailed procedure to find GCD of 476, 176, 279, 491?

You can find a detailed procedure to find GCD of 476, 176, 279, 491 on our page.

3. How to find GCD of 476, 176, 279, 491 on a calculator?

You can find the GCD of 476, 176, 279, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.