GCD of 171, 397, 461, 716 Calculator

Given Input numbers are 171, 397, 461, 716

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 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 716

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

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 171, 397, 461, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 397, 461, 716 is 1.

Therefore, GCD of numbers 171, 397, 461, 716 is 1

Given Input Data is 171, 397, 461, 716

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 397 is 397

Prime Factorization of 461 is 461

Prime Factorization of 716 is 2 x 2 x 179

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, 397) = 67887

GCD(171, 397) = ( 171 x 397 ) / 67887

GCD(171, 397) = 67887 / 67887

GCD(171, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 171, 397, 461, 716 is 1

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• GCD of 325, 243, 583, 110
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1. What is the GCD of 171, 397, 461, 716?

GCD of 171, 397, 461, 716 is 1

2. Where do I get the detailed procedure to find GCD of 171, 397, 461, 716?

You can find a detailed procedure to find GCD of 171, 397, 461, 716 on our page.

3. How to find GCD of 171, 397, 461, 716 on a calculator?

You can find the GCD of 171, 397, 461, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.