GCD of 476, 490, 419, 499 Calculator

Given Input numbers are 476, 490, 419, 499

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 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 476, 490, 419, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 490, 419, 499 is 1.

Therefore, GCD of numbers 476, 490, 419, 499 is 1

Given Input Data is 476, 490, 419, 499

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 490 is 2 x 5 x 7 x 7

Prime Factorization of 419 is 419

Prime Factorization of 499 is 499

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, 490) = 16660

GCD(476, 490) = ( 476 x 490 ) / 16660

GCD(476, 490) = 233240 / 16660

GCD(476, 490) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 419

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

LCM(14, 419) = 5866

GCD(14, 419) = ( 14 x 419 ) / 5866

GCD(14, 419) = 5866 / 5866

GCD(14, 419) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 476, 490, 419, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 616, 371, 842
• GCD of 646, 610, 853, 148
• GCD of 312, 592, 993, 604
• GCD of 971, 563, 317, 670
• GCD of 878, 718, 834, 654

1. What is the GCD of 476, 490, 419, 499?

GCD of 476, 490, 419, 499 is 1

2. Where do I get the detailed procedure to find GCD of 476, 490, 419, 499?

You can find a detailed procedure to find GCD of 476, 490, 419, 499 on our page.

3. How to find GCD of 476, 490, 419, 499 on a calculator?

You can find the GCD of 476, 490, 419, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.