GCD of 871, 224, 821 Calculator

Given Input numbers are 871, 224, 821

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

Divisors of 871

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

1, 13, 67, 871

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 871, 224, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 224, 821 is 1.

Therefore, GCD of numbers 871, 224, 821 is 1

Given Input Data is 871, 224, 821

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 821 is 821

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(871, 224) = 195104

GCD(871, 224) = ( 871 x 224 ) / 195104

GCD(871, 224) = 195104 / 195104

GCD(871, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 871, 224, 821 is 1

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1. What is the GCD of 871, 224, 821?

GCD of 871, 224, 821 is 1

2. Where do I get the detailed procedure to find GCD of 871, 224, 821?

You can find a detailed procedure to find GCD of 871, 224, 821 on our page.

3. How to find GCD of 871, 224, 821 on a calculator?

You can find the GCD of 871, 224, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.