GCD of 457, 326, 697, 871 Calculator

Given Input numbers are 457, 326, 697, 871

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 457, 326, 697, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 326, 697, 871 is 1.

Therefore, GCD of numbers 457, 326, 697, 871 is 1

Given Input Data is 457, 326, 697, 871

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

Prime Factorization of 457 is 457

Prime Factorization of 326 is 2 x 163

Prime Factorization of 697 is 17 x 41

Prime Factorization of 871 is 13 x 67

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(457, 326) = 148982

GCD(457, 326) = ( 457 x 326 ) / 148982

GCD(457, 326) = 148982 / 148982

GCD(457, 326) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

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

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

GCD of 457, 326, 697, 871 is 1

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1. What is the GCD of 457, 326, 697, 871?

GCD of 457, 326, 697, 871 is 1

2. Where do I get the detailed procedure to find GCD of 457, 326, 697, 871?

You can find a detailed procedure to find GCD of 457, 326, 697, 871 on our page.

3. How to find GCD of 457, 326, 697, 871 on a calculator?

You can find the GCD of 457, 326, 697, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.