GCD of 214, 982, 237, 448 Calculator

Given Input numbers are 214, 982, 237, 448

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 237

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

1, 3, 79, 237

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 214, 982, 237, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 982, 237, 448 is 1.

Therefore, GCD of numbers 214, 982, 237, 448 is 1

Given Input Data is 214, 982, 237, 448

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 982 is 2 x 491

Prime Factorization of 237 is 3 x 79

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(214, 982) = 105074

GCD(214, 982) = ( 214 x 982 ) / 105074

GCD(214, 982) = 210148 / 105074

GCD(214, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 237

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

LCM(2, 237) = 474

GCD(2, 237) = ( 2 x 237 ) / 474

GCD(2, 237) = 474 / 474

GCD(2, 237) = 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 214, 982, 237, 448 is 1

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• GCD of 592, 141, 185, 854
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1. What is the GCD of 214, 982, 237, 448?

GCD of 214, 982, 237, 448 is 1

2. Where do I get the detailed procedure to find GCD of 214, 982, 237, 448?

You can find a detailed procedure to find GCD of 214, 982, 237, 448 on our page.

3. How to find GCD of 214, 982, 237, 448 on a calculator?

You can find the GCD of 214, 982, 237, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.