GCD of 237, 413, 313, 448 Calculator

Given Input numbers are 237, 413, 313, 448

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 237, 413, 313, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 413, 313, 448 is 1.

Therefore, GCD of numbers 237, 413, 313, 448 is 1

Given Input Data is 237, 413, 313, 448

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 413 is 7 x 59

Prime Factorization of 313 is 313

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(237, 413) = 97881

GCD(237, 413) = ( 237 x 413 ) / 97881

GCD(237, 413) = 97881 / 97881

GCD(237, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

GCD of 237, 413, 313, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 620, 711, 145
• GCD of 202, 175, 988, 548
• GCD of 596, 479, 338, 483
• GCD of 418, 799, 522, 191
• GCD of 679, 342, 397, 971

1. What is the GCD of 237, 413, 313, 448?

GCD of 237, 413, 313, 448 is 1

2. Where do I get the detailed procedure to find GCD of 237, 413, 313, 448?

You can find a detailed procedure to find GCD of 237, 413, 313, 448 on our page.

3. How to find GCD of 237, 413, 313, 448 on a calculator?

You can find the GCD of 237, 413, 313, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.