GCD of 241, 827, 658, 314 Calculator

Given Input numbers are 241, 827, 658, 314

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

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 241, 827, 658, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 827, 658, 314 is 1.

Therefore, GCD of numbers 241, 827, 658, 314 is 1

Given Input Data is 241, 827, 658, 314

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

Prime Factorization of 241 is 241

Prime Factorization of 827 is 827

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 314 is 2 x 157

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(241, 827) = 199307

GCD(241, 827) = ( 241 x 827 ) / 199307

GCD(241, 827) = 199307 / 199307

GCD(241, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 241, 827, 658, 314 is 1

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1. What is the GCD of 241, 827, 658, 314?

GCD of 241, 827, 658, 314 is 1

2. Where do I get the detailed procedure to find GCD of 241, 827, 658, 314?

You can find a detailed procedure to find GCD of 241, 827, 658, 314 on our page.

3. How to find GCD of 241, 827, 658, 314 on a calculator?

You can find the GCD of 241, 827, 658, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.