GCD of 427, 718, 21, 871 Calculator

Given Input numbers are 427, 718, 21, 871

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 718

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

1, 2, 359, 718

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 427, 718, 21, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 718, 21, 871 is 1.

Therefore, GCD of numbers 427, 718, 21, 871 is 1

Given Input Data is 427, 718, 21, 871

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 718 is 2 x 359

Prime Factorization of 21 is 3 x 7

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(427, 718) = 306586

GCD(427, 718) = ( 427 x 718 ) / 306586

GCD(427, 718) = 306586 / 306586

GCD(427, 718) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 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 427, 718, 21, 871 is 1

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1. What is the GCD of 427, 718, 21, 871?

GCD of 427, 718, 21, 871 is 1

2. Where do I get the detailed procedure to find GCD of 427, 718, 21, 871?

You can find a detailed procedure to find GCD of 427, 718, 21, 871 on our page.

3. How to find GCD of 427, 718, 21, 871 on a calculator?

You can find the GCD of 427, 718, 21, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.