GCD of 381, 102, 71, 713 Calculator

Given Input numbers are 381, 102, 71, 713

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 71

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

1, 71

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 381, 102, 71, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 102, 71, 713 is 1.

Therefore, GCD of numbers 381, 102, 71, 713 is 1

Given Input Data is 381, 102, 71, 713

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 71 is 71

Prime Factorization of 713 is 23 x 31

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(381, 102) = 12954

GCD(381, 102) = ( 381 x 102 ) / 12954

GCD(381, 102) = 38862 / 12954

GCD(381, 102) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

GCD of 381, 102, 71, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 761, 92, 626
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1. What is the GCD of 381, 102, 71, 713?

GCD of 381, 102, 71, 713 is 1

2. Where do I get the detailed procedure to find GCD of 381, 102, 71, 713?

You can find a detailed procedure to find GCD of 381, 102, 71, 713 on our page.

3. How to find GCD of 381, 102, 71, 713 on a calculator?

You can find the GCD of 381, 102, 71, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.