GCD of 339, 271, 147, 213 Calculator

Given Input numbers are 339, 271, 147, 213

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

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 339, 271, 147, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 271, 147, 213 is 1.

Therefore, GCD of numbers 339, 271, 147, 213 is 1

Given Input Data is 339, 271, 147, 213

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 271 is 271

Prime Factorization of 147 is 3 x 7 x 7

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(339, 271) = 91869

GCD(339, 271) = ( 339 x 271 ) / 91869

GCD(339, 271) = 91869 / 91869

GCD(339, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 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 339, 271, 147, 213 is 1

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1. What is the GCD of 339, 271, 147, 213?

GCD of 339, 271, 147, 213 is 1

2. Where do I get the detailed procedure to find GCD of 339, 271, 147, 213?

You can find a detailed procedure to find GCD of 339, 271, 147, 213 on our page.

3. How to find GCD of 339, 271, 147, 213 on a calculator?

You can find the GCD of 339, 271, 147, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.