GCD of 356, 898, 49, 891 Calculator

Given Input numbers are 356, 898, 49, 891

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 49

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

1, 7, 49

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 356, 898, 49, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 898, 49, 891 is 1.

Therefore, GCD of numbers 356, 898, 49, 891 is 1

Given Input Data is 356, 898, 49, 891

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 898 is 2 x 449

Prime Factorization of 49 is 7 x 7

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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(356, 898) = 159844

GCD(356, 898) = ( 356 x 898 ) / 159844

GCD(356, 898) = 319688 / 159844

GCD(356, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 891

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

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

GCD(1, 891) = 891 / 891

GCD(1, 891) = 1

GCD of 356, 898, 49, 891 is 1

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1. What is the GCD of 356, 898, 49, 891?

GCD of 356, 898, 49, 891 is 1

2. Where do I get the detailed procedure to find GCD of 356, 898, 49, 891?

You can find a detailed procedure to find GCD of 356, 898, 49, 891 on our page.

3. How to find GCD of 356, 898, 49, 891 on a calculator?

You can find the GCD of 356, 898, 49, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.