GCD of 842, 242, 341, 755 Calculator

Given Input numbers are 842, 242, 341, 755

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 842, 242, 341, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 242, 341, 755 is 1.

Therefore, GCD of numbers 842, 242, 341, 755 is 1

Given Input Data is 842, 242, 341, 755

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 341 is 11 x 31

Prime Factorization of 755 is 5 x 151

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(842, 242) = 101882

GCD(842, 242) = ( 842 x 242 ) / 101882

GCD(842, 242) = 203764 / 101882

GCD(842, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 341

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

LCM(2, 341) = 682

GCD(2, 341) = ( 2 x 341 ) / 682

GCD(2, 341) = 682 / 682

GCD(2, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 842, 242, 341, 755 is 1

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1. What is the GCD of 842, 242, 341, 755?

GCD of 842, 242, 341, 755 is 1

2. Where do I get the detailed procedure to find GCD of 842, 242, 341, 755?

You can find a detailed procedure to find GCD of 842, 242, 341, 755 on our page.

3. How to find GCD of 842, 242, 341, 755 on a calculator?

You can find the GCD of 842, 242, 341, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.