GCD of 49, 353, 886, 894 Calculator

Given Input numbers are 49, 353, 886, 894

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 49, 353, 886, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 353, 886, 894 is 1.

Therefore, GCD of numbers 49, 353, 886, 894 is 1

Given Input Data is 49, 353, 886, 894

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 353 is 353

Prime Factorization of 886 is 2 x 443

Prime Factorization of 894 is 2 x 3 x 149

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(49, 353) = 17297

GCD(49, 353) = ( 49 x 353 ) / 17297

GCD(49, 353) = 17297 / 17297

GCD(49, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 49, 353, 886, 894 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 309, 670, 935
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• GCD of 48, 111, 316, 556
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• GCD of 45, 180, 702, 764

1. What is the GCD of 49, 353, 886, 894?

GCD of 49, 353, 886, 894 is 1

2. Where do I get the detailed procedure to find GCD of 49, 353, 886, 894?

You can find a detailed procedure to find GCD of 49, 353, 886, 894 on our page.

3. How to find GCD of 49, 353, 886, 894 on a calculator?

You can find the GCD of 49, 353, 886, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.