GCD of 271, 120, 71, 982 Calculator

Given Input numbers are 271, 120, 71, 982

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 71

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

1, 71

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 271, 120, 71, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 120, 71, 982 is 1.

Therefore, GCD of numbers 271, 120, 71, 982 is 1

Given Input Data is 271, 120, 71, 982

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

Prime Factorization of 271 is 271

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 71 is 71

Prime Factorization of 982 is 2 x 491

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, 120) = 32520

GCD(271, 120) = ( 271 x 120 ) / 32520

GCD(271, 120) = 32520 / 32520

GCD(271, 120) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 271, 120, 71, 982 is 1

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• GCD of 284, 676, 63, 688
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1. What is the GCD of 271, 120, 71, 982?

GCD of 271, 120, 71, 982 is 1

2. Where do I get the detailed procedure to find GCD of 271, 120, 71, 982?

You can find a detailed procedure to find GCD of 271, 120, 71, 982 on our page.

3. How to find GCD of 271, 120, 71, 982 on a calculator?

You can find the GCD of 271, 120, 71, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.