GCD of 271, 862, 491, 559 Calculator

Given Input numbers are 271, 862, 491, 559

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

Divisors of 271

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

1, 271

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 271, 862, 491, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 862, 491, 559 is 1.

Therefore, GCD of numbers 271, 862, 491, 559 is 1

Given Input Data is 271, 862, 491, 559

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

Prime Factorization of 271 is 271

Prime Factorization of 862 is 2 x 431

Prime Factorization of 491 is 491

Prime Factorization of 559 is 13 x 43

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(271, 862) = 233602

GCD(271, 862) = ( 271 x 862 ) / 233602

GCD(271, 862) = 233602 / 233602

GCD(271, 862) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 271, 862, 491, 559 is 1

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1. What is the GCD of 271, 862, 491, 559?

GCD of 271, 862, 491, 559 is 1

2. Where do I get the detailed procedure to find GCD of 271, 862, 491, 559?

You can find a detailed procedure to find GCD of 271, 862, 491, 559 on our page.

3. How to find GCD of 271, 862, 491, 559 on a calculator?

You can find the GCD of 271, 862, 491, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.