GCD of 103, 557, 71, 382 Calculator

Given Input numbers are 103, 557, 71, 382

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 71

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

1, 71

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 103, 557, 71, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 557, 71, 382 is 1.

Therefore, GCD of numbers 103, 557, 71, 382 is 1

Given Input Data is 103, 557, 71, 382

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

Prime Factorization of 103 is 103

Prime Factorization of 557 is 557

Prime Factorization of 71 is 71

Prime Factorization of 382 is 2 x 191

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(103, 557) = 57371

GCD(103, 557) = ( 103 x 557 ) / 57371

GCD(103, 557) = 57371 / 57371

GCD(103, 557) = 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 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 103, 557, 71, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 999, 22, 970
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• GCD of 904, 399, 37, 199

1. What is the GCD of 103, 557, 71, 382?

GCD of 103, 557, 71, 382 is 1

2. Where do I get the detailed procedure to find GCD of 103, 557, 71, 382?

You can find a detailed procedure to find GCD of 103, 557, 71, 382 on our page.

3. How to find GCD of 103, 557, 71, 382 on a calculator?

You can find the GCD of 103, 557, 71, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.