GCD of 143, 282, 362, 213 Calculator

Given Input numbers are 143, 282, 362, 213

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 143, 282, 362, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 282, 362, 213 is 1.

Therefore, GCD of numbers 143, 282, 362, 213 is 1

Given Input Data is 143, 282, 362, 213

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 362 is 2 x 181

Prime Factorization of 213 is 3 x 71

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(143, 282) = 40326

GCD(143, 282) = ( 143 x 282 ) / 40326

GCD(143, 282) = 40326 / 40326

GCD(143, 282) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 143, 282, 362, 213 is 1

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1. What is the GCD of 143, 282, 362, 213?

GCD of 143, 282, 362, 213 is 1

2. Where do I get the detailed procedure to find GCD of 143, 282, 362, 213?

You can find a detailed procedure to find GCD of 143, 282, 362, 213 on our page.

3. How to find GCD of 143, 282, 362, 213 on a calculator?

You can find the GCD of 143, 282, 362, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.