GCD of 171, 931, 716, 386 Calculator

Given Input numbers are 171, 931, 716, 386

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 171, 931, 716, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 931, 716, 386 is 1.

Therefore, GCD of numbers 171, 931, 716, 386 is 1

Given Input Data is 171, 931, 716, 386

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 386 is 2 x 193

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(171, 931) = 8379

GCD(171, 931) = ( 171 x 931 ) / 8379

GCD(171, 931) = 159201 / 8379

GCD(171, 931) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 716

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

LCM(19, 716) = 13604

GCD(19, 716) = ( 19 x 716 ) / 13604

GCD(19, 716) = 13604 / 13604

GCD(19, 716) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 386

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

LCM(1, 386) = 386

GCD(1, 386) = ( 1 x 386 ) / 386

GCD(1, 386) = 386 / 386

GCD(1, 386) = 1

GCD of 171, 931, 716, 386 is 1

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1. What is the GCD of 171, 931, 716, 386?

GCD of 171, 931, 716, 386 is 1

2. Where do I get the detailed procedure to find GCD of 171, 931, 716, 386?

You can find a detailed procedure to find GCD of 171, 931, 716, 386 on our page.

3. How to find GCD of 171, 931, 716, 386 on a calculator?

You can find the GCD of 171, 931, 716, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.