GCD of 245, 406, 31, 371 Calculator

Given Input numbers are 245, 406, 31, 371

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

Divisors of 245

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

1, 5, 7, 35, 49, 245

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 245, 406, 31, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 406, 31, 371 is 1.

Therefore, GCD of numbers 245, 406, 31, 371 is 1

Given Input Data is 245, 406, 31, 371

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 31 is 31

Prime Factorization of 371 is 7 x 53

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(245, 406) = 14210

GCD(245, 406) = ( 245 x 406 ) / 14210

GCD(245, 406) = 99470 / 14210

GCD(245, 406) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 31

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

LCM(7, 31) = 217

GCD(7, 31) = ( 7 x 31 ) / 217

GCD(7, 31) = 217 / 217

GCD(7, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 245, 406, 31, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 445, 24, 446
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• GCD of 480, 952, 29, 909

1. What is the GCD of 245, 406, 31, 371?

GCD of 245, 406, 31, 371 is 1

2. Where do I get the detailed procedure to find GCD of 245, 406, 31, 371?

You can find a detailed procedure to find GCD of 245, 406, 31, 371 on our page.

3. How to find GCD of 245, 406, 31, 371 on a calculator?

You can find the GCD of 245, 406, 31, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.