GCD of 431, 871, 288, 718 Calculator

Given Input numbers are 431, 871, 288, 718

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 871

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

1, 13, 67, 871

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Greatest Common Divisior

We found the divisors of 431, 871, 288, 718 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 871, 288, 718 is 1.

Therefore, GCD of numbers 431, 871, 288, 718 is 1

Given Input Data is 431, 871, 288, 718

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

Prime Factorization of 431 is 431

Prime Factorization of 871 is 13 x 67

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 718 is 2 x 359

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(431, 871) = 375401

GCD(431, 871) = ( 431 x 871 ) / 375401

GCD(431, 871) = 375401 / 375401

GCD(431, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 718

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

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

GCD(1, 718) = 718 / 718

GCD(1, 718) = 1

GCD of 431, 871, 288, 718 is 1

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1. What is the GCD of 431, 871, 288, 718?

GCD of 431, 871, 288, 718 is 1

2. Where do I get the detailed procedure to find GCD of 431, 871, 288, 718?

You can find a detailed procedure to find GCD of 431, 871, 288, 718 on our page.

3. How to find GCD of 431, 871, 288, 718 on a calculator?

You can find the GCD of 431, 871, 288, 718 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.