GCD of 356, 398, 848, 841 Calculator

Given Input numbers are 356, 398, 848, 841

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 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 356, 398, 848, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 398, 848, 841 is 1.

Therefore, GCD of numbers 356, 398, 848, 841 is 1

Given Input Data is 356, 398, 848, 841

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 398 is 2 x 199

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 841 is 29 x 29

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, 398) = 70844

GCD(356, 398) = ( 356 x 398 ) / 70844

GCD(356, 398) = 141688 / 70844

GCD(356, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 848

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

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

GCD(2, 848) = 1696 / 848

GCD(2, 848) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 841

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

LCM(2, 841) = 1682

GCD(2, 841) = ( 2 x 841 ) / 1682

GCD(2, 841) = 1682 / 1682

GCD(2, 841) = 1

GCD of 356, 398, 848, 841 is 1

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1. What is the GCD of 356, 398, 848, 841?

GCD of 356, 398, 848, 841 is 1

2. Where do I get the detailed procedure to find GCD of 356, 398, 848, 841?

You can find a detailed procedure to find GCD of 356, 398, 848, 841 on our page.

3. How to find GCD of 356, 398, 848, 841 on a calculator?

You can find the GCD of 356, 398, 848, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.