GCD of 930, 245, 241, 400 Calculator

Given Input numbers are 930, 245, 241, 400

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 241

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

1, 241

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 930, 245, 241, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 245, 241, 400 is 1.

Therefore, GCD of numbers 930, 245, 241, 400 is 1

Given Input Data is 930, 245, 241, 400

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 241 is 241

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(930, 245) = 45570

GCD(930, 245) = ( 930 x 245 ) / 45570

GCD(930, 245) = 227850 / 45570

GCD(930, 245) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 241

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

LCM(5, 241) = 1205

GCD(5, 241) = ( 5 x 241 ) / 1205

GCD(5, 241) = 1205 / 1205

GCD(5, 241) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 930, 245, 241, 400 is 1

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1. What is the GCD of 930, 245, 241, 400?

GCD of 930, 245, 241, 400 is 1

2. Where do I get the detailed procedure to find GCD of 930, 245, 241, 400?

You can find a detailed procedure to find GCD of 930, 245, 241, 400 on our page.

3. How to find GCD of 930, 245, 241, 400 on a calculator?

You can find the GCD of 930, 245, 241, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.