GCD of 71, 489, 354, 212 Calculator

Given Input numbers are 71, 489, 354, 212

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 71, 489, 354, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 489, 354, 212 is 1.

Therefore, GCD of numbers 71, 489, 354, 212 is 1

Given Input Data is 71, 489, 354, 212

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

Prime Factorization of 71 is 71

Prime Factorization of 489 is 3 x 163

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 212 is 2 x 2 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(71, 489) = 34719

GCD(71, 489) = ( 71 x 489 ) / 34719

GCD(71, 489) = 34719 / 34719

GCD(71, 489) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 71, 489, 354, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 794, 341, 244
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1. What is the GCD of 71, 489, 354, 212?

GCD of 71, 489, 354, 212 is 1

2. Where do I get the detailed procedure to find GCD of 71, 489, 354, 212?

You can find a detailed procedure to find GCD of 71, 489, 354, 212 on our page.

3. How to find GCD of 71, 489, 354, 212 on a calculator?

You can find the GCD of 71, 489, 354, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.