GCD of 380, 462, 271, 411 Calculator

Given Input numbers are 380, 462, 271, 411

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 271

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

1, 271

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 380, 462, 271, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 462, 271, 411 is 1.

Therefore, GCD of numbers 380, 462, 271, 411 is 1

Given Input Data is 380, 462, 271, 411

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 271 is 271

Prime Factorization of 411 is 3 x 137

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(380, 462) = 87780

GCD(380, 462) = ( 380 x 462 ) / 87780

GCD(380, 462) = 175560 / 87780

GCD(380, 462) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 271

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

LCM(2, 271) = 542

GCD(2, 271) = ( 2 x 271 ) / 542

GCD(2, 271) = 542 / 542

GCD(2, 271) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 411

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

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

GCD(1, 411) = 411 / 411

GCD(1, 411) = 1

GCD of 380, 462, 271, 411 is 1

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1. What is the GCD of 380, 462, 271, 411?

GCD of 380, 462, 271, 411 is 1

2. Where do I get the detailed procedure to find GCD of 380, 462, 271, 411?

You can find a detailed procedure to find GCD of 380, 462, 271, 411 on our page.

3. How to find GCD of 380, 462, 271, 411 on a calculator?

You can find the GCD of 380, 462, 271, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.