GCD of 422, 490, 99, 878 Calculator

Given Input numbers are 422, 490, 99, 878

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 422, 490, 99, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 490, 99, 878 is 1.

Therefore, GCD of numbers 422, 490, 99, 878 is 1

Given Input Data is 422, 490, 99, 878

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 878 is 2 x 439

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(422, 490) = 103390

GCD(422, 490) = ( 422 x 490 ) / 103390

GCD(422, 490) = 206780 / 103390

GCD(422, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 422, 490, 99, 878 is 1

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• GCD of 750, 843, 32, 467
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• GCD of 199, 496, 31, 516

1. What is the GCD of 422, 490, 99, 878?

GCD of 422, 490, 99, 878 is 1

2. Where do I get the detailed procedure to find GCD of 422, 490, 99, 878?

You can find a detailed procedure to find GCD of 422, 490, 99, 878 on our page.

3. How to find GCD of 422, 490, 99, 878 on a calculator?

You can find the GCD of 422, 490, 99, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.