GCD of 490, 646, 877, 412 Calculator

Given Input numbers are 490, 646, 877, 412

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

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 490, 646, 877, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 646, 877, 412 is 1.

Therefore, GCD of numbers 490, 646, 877, 412 is 1

Given Input Data is 490, 646, 877, 412

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

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 877 is 877

Prime Factorization of 412 is 2 x 2 x 103

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(490, 646) = 158270

GCD(490, 646) = ( 490 x 646 ) / 158270

GCD(490, 646) = 316540 / 158270

GCD(490, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 877

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

LCM(2, 877) = 1754

GCD(2, 877) = ( 2 x 877 ) / 1754

GCD(2, 877) = 1754 / 1754

GCD(2, 877) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 490, 646, 877, 412 is 1

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• GCD of 895, 724, 110, 420
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• GCD of 473, 371, 942, 275

1. What is the GCD of 490, 646, 877, 412?

GCD of 490, 646, 877, 412 is 1

2. Where do I get the detailed procedure to find GCD of 490, 646, 877, 412?

You can find a detailed procedure to find GCD of 490, 646, 877, 412 on our page.

3. How to find GCD of 490, 646, 877, 412 on a calculator?

You can find the GCD of 490, 646, 877, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.